Atkin-Lehner |
2- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
26912g |
Isogeny class |
Conductor |
26912 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
515040 |
Modular degree for the optimal curve |
Δ |
215402103449702912 = 29 · 2910 |
Discriminant |
Eigenvalues |
2- 2 -4 -3 2 4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-235760,38062196] |
[a1,a2,a3,a4,a6] |
j |
6728 |
j-invariant |
L |
2.4214257880272 |
L(r)(E,1)/r! |
Ω |
0.30267822350338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26912h1 53824bd1 26912d1 |
Quadratic twists by: -4 8 29 |