Atkin-Lehner |
3- 5- 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
37185i |
Isogeny class |
Conductor |
37185 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
37185 = 3 · 5 · 37 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-775,8240] |
[a1,a2,a3,a4,a6] |
Generators |
[457:9526:1] |
Generators of the group modulo torsion |
j |
51482999631601/37185 |
j-invariant |
L |
4.6295014097688 |
L(r)(E,1)/r! |
Ω |
3.0312015412393 |
Real period |
R |
6.1091304511224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111555m1 |
Quadratic twists by: -3 |