Atkin-Lehner |
2+ 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20650a |
Isogeny class |
Conductor |
20650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4.3835976099463E+27 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -3 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1417922740,-20796724086960] |
[a1,a2,a3,a4,a6] |
Generators |
[133933025416511195136129726221560174650126422367320104470356954149642540755795064833968526387220896344720715273519866048633023577921546049:358865033051809105017875527004855987654935284305935788193213729521288036440311636992663440913989039464080756097358075043110999066380376389317:18647765298418068310456048782739694724633547062819179791676198148038562969974786597184309872139414644784489379980347734706600738369] |
Generators of the group modulo torsion |
j |
-12610764243430612074465935988145/175343904397852727139893248 |
j-invariant |
L |
5.0887478652741 |
L(r)(E,1)/r! |
Ω |
0.012291283919184 |
Real period |
R |
207.00635908881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20650bh2 |
Quadratic twists by: 5 |