Atkin-Lehner |
2+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37030d |
Isogeny class |
Conductor |
37030 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2363904 |
Modular degree for the optimal curve |
Δ |
-2.1144897803269E+19 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ 0 4 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-954415,-421358675] |
[a1,a2,a3,a4,a6] |
j |
-343577244923154729/75560399667200 |
j-invariant |
L |
0.90583538747598 |
L(r)(E,1)/r! |
Ω |
0.075486282286375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37030m1 |
Quadratic twists by: -23 |