Atkin-Lehner |
2+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23534h |
Isogeny class |
Conductor |
23534 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
156351847140048896 = 214 · 72 · 417 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 2 -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-142080,7924046] |
[a1,a2,a3,a4,a6] |
Generators |
[-285:83009:27] |
Generators of the group modulo torsion |
j |
66775173193/32915456 |
j-invariant |
L |
2.755800273041 |
L(r)(E,1)/r! |
Ω |
0.28763880691437 |
Real period |
R |
4.7903832980739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
574c1 |
Quadratic twists by: 41 |