Atkin-Lehner |
2+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37510c |
Isogeny class |
Conductor |
37510 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-755127876250 = -1 · 2 · 54 · 117 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 11- 4 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1535,48175] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1445:1] |
Generators of the group modulo torsion |
j |
-225866529/426250 |
j-invariant |
L |
3.2611738209022 |
L(r)(E,1)/r! |
Ω |
0.80192689781536 |
Real period |
R |
1.0166680497268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3410b1 |
Quadratic twists by: -11 |