Atkin-Lehner |
2+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39688b |
Isogeny class |
Conductor |
39688 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-1467741616 = -1 · 24 · 113 · 413 |
Discriminant |
Eigenvalues |
2+ -2 1 -1 11+ 2 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-95,1846] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:11:1] [-11:41:1] |
Generators of the group modulo torsion |
j |
-4499456/68921 |
j-invariant |
L |
6.9156384822282 |
L(r)(E,1)/r! |
Ω |
1.2785729414968 |
Real period |
R |
0.45073940496318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79376d1 39688e1 |
Quadratic twists by: -4 -11 |