Atkin-Lehner |
3- 5+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
41085b |
Isogeny class |
Conductor |
41085 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
476160 |
Modular degree for the optimal curve |
Δ |
-95551179921556425 = -1 · 36 · 52 · 113 · 835 |
Discriminant |
Eigenvalues |
-1 3- 5+ -5 11- -3 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,84652,11438056] |
[a1,a2,a3,a4,a6] |
Generators |
[44800:1682456:343] [-38:2876:1] |
Generators of the group modulo torsion |
j |
92026448780575239/131071577395825 |
j-invariant |
L |
4.7759777593659 |
L(r)(E,1)/r! |
Ω |
0.22859337987203 |
Real period |
R |
0.34821493679009 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4565a1 |
Quadratic twists by: -3 |