Atkin-Lehner |
2- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
110864p |
Isogeny class |
Conductor |
110864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
3242379984896 = 214 · 136 · 41 |
Discriminant |
Eigenvalues |
2- 2 2 -4 -2 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4112,-51520] |
[a1,a2,a3,a4,a6] |
Generators |
[-119640:742832:3375] |
Generators of the group modulo torsion |
j |
389017/164 |
j-invariant |
L |
9.7680495918132 |
L(r)(E,1)/r! |
Ω |
0.61905550565989 |
Real period |
R |
7.8894779872243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13858m1 656c1 |
Quadratic twists by: -4 13 |