Atkin-Lehner |
2+ 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608z |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
727835328 = 26 · 33 · 112 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11+ 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-252,-918] |
[a1,a2,a3,a4,a6] |
j |
27763077952/11372427 |
j-invariant |
L |
3.7250064795782 |
L(r)(E,1)/r! |
Ω |
1.2416693772938 |
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 |
124608s1 62304h2 |
Quadratic twists by: -4 8 |