Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
10512t |
Isogeny class |
Conductor |
10512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
7413876836794368 = 218 · 318 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -6 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-280155,56924426] |
[a1,a2,a3,a4,a6] |
j |
814388006841625/2482892352 |
j-invariant |
L |
1.6778840472563 |
L(r)(E,1)/r! |
Ω |
0.41947101181408 |
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 |
1314f1 42048ca1 3504q1 |
Quadratic twists by: -4 8 -3 |