Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344bs |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
21320672256 = 210 · 36 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 -5 13+ -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6084,-182520] |
[a1,a2,a3,a4,a6] |
j |
1168128 |
j-invariant |
L |
1.6217944718581 |
L(r)(E,1)/r! |
Ω |
0.54059817176307 |
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 |
97344ff1 6084k1 10816r1 97344cc1 |
Quadratic twists by: -4 8 -3 13 |