Atkin-Lehner |
2+ 3- 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
118950bc |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
7704316784531250 = 2 · 314 · 57 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-66526,5072198] |
[a1,a2,a3,a4,a6] |
Generators |
[-2122:17203:8] [-218:3146:1] |
Generators of the group modulo torsion |
j |
2083859989441489/493076274210 |
j-invariant |
L |
9.3410765874874 |
L(r)(E,1)/r! |
Ω |
0.39163298978185 |
Real period |
R |
0.85184314624829 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980262 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23790l2 |
Quadratic twists by: 5 |