Atkin-Lehner |
2+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
7942k |
Isogeny class |
Conductor |
7942 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-216316960838 = -1 · 2 · 112 · 197 |
Discriminant |
Eigenvalues |
2+ -3 -2 1 11- 7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2053,42739] |
[a1,a2,a3,a4,a6] |
Generators |
[43:159:1] |
Generators of the group modulo torsion |
j |
-20346417/4598 |
j-invariant |
L |
1.740348046702 |
L(r)(E,1)/r! |
Ω |
0.9528828339089 |
Real period |
R |
0.22830037240292 |
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 |
63536ba1 71478bz1 87362bs1 418c1 |
Quadratic twists by: -4 -3 -11 -19 |