Atkin-Lehner |
5+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
122815a |
Isogeny class |
Conductor |
122815 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20217600 |
Modular degree for the optimal curve |
Δ |
-1.0798621044961E+25 |
Discriminant |
Eigenvalues |
0 1 5+ 7+ 11- 4 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,54234459,36945416701] |
[a1,a2,a3,a4,a6] |
j |
9958490884690134695936/6095540060410757075 |
j-invariant |
L |
2.8405847391436 |
L(r)(E,1)/r! |
Ω |
0.044384122882602 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1015b1 |
Quadratic twists by: -11 |