Atkin-Lehner |
3+ 5+ 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
37185b |
Isogeny class |
Conductor |
37185 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
5014955025 = 37 · 52 · 372 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2991,-64116] |
[a1,a2,a3,a4,a6] |
Generators |
[5268:29709:64] |
Generators of the group modulo torsion |
j |
2959252520689009/5014955025 |
j-invariant |
L |
3.6839509823381 |
L(r)(E,1)/r! |
Ω |
0.64563772977539 |
Real period |
R |
5.7059103154019 |
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 |
111555p1 |
Quadratic twists by: -3 |