Atkin-Lehner |
2- 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650dh |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
8257536 |
Modular degree for the optimal curve |
Δ |
-2.2784074600896E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 6 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1398605,-2382798603] |
[a1,a2,a3,a4,a6] |
j |
-26562019806177409/200024797593600 |
j-invariant |
L |
3.4360150207098 |
L(r)(E,1)/r! |
Ω |
0.061357412219733 |
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 |
32550d1 19530bd1 |
Quadratic twists by: -3 5 |