Atkin-Lehner |
2+ 3+ 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
61752a |
Isogeny class |
Conductor |
61752 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
7297920 |
Modular degree for the optimal curve |
Δ |
-3.0900615249715E+24 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 0 1 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21804156,93220182612] |
[a1,a2,a3,a4,a6] |
j |
-4478180643687074847323344/12070552831919889418359 |
j-invariant |
L |
0.98749772905677 |
L(r)(E,1)/r! |
Ω |
0.070535552194771 |
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 |
123504n1 |
Quadratic twists by: -4 |