Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680f |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
93790071040050000 = 24 · 32 · 55 · 76 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-437635,-110309408] |
[a1,a2,a3,a4,a6] |
Generators |
[-401:735:1] |
Generators of the group modulo torsion |
j |
4924392082991104/49825153125 |
j-invariant |
L |
5.3300867999778 |
L(r)(E,1)/r! |
Ω |
0.18573203512622 |
Real period |
R |
1.4348862317514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360cx1 1320c1 |
Quadratic twists by: -4 -7 |