Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372c |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
350784 |
Modular degree for the optimal curve |
Δ |
23709381315984 = 24 · 32 · 78 · 134 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 4 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19322,1013349] |
[a1,a2,a3,a4,a6] |
j |
302848/9 |
j-invariant |
L |
1.343100805892 |
L(r)(E,1)/r! |
Ω |
0.67155021468617 |
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 |
99372br1 99372b1 |
Quadratic twists by: -7 13 |