Atkin-Lehner |
2+ 3- 7- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
37506l |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-8034216289763328 = -1 · 230 · 32 · 72 · 192 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-229023,42386482] |
[a1,a2,a3,a4,a6] |
j |
-1328489982463282750441/8034216289763328 |
j-invariant |
L |
1.6694345537715 |
L(r)(E,1)/r! |
Ω |
0.41735863844755 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112518bj1 |
Quadratic twists by: -3 |