Atkin-Lehner |
2+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21904a |
Isogeny class |
Conductor |
21904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
24302560546048 = 28 · 377 |
Discriminant |
Eigenvalues |
2+ 1 0 3 3 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45633,-3759781] |
[a1,a2,a3,a4,a6] |
Generators |
[-629170:80771:4913] |
Generators of the group modulo torsion |
j |
16000000/37 |
j-invariant |
L |
6.814036498005 |
L(r)(E,1)/r! |
Ω |
0.32669264198779 |
Real period |
R |
5.2144092200427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10952a1 87616bd1 592b1 |
Quadratic twists by: -4 8 37 |