Atkin-Lehner |
2- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
55664bg |
Isogeny class |
Conductor |
55664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
3952144 = 24 · 72 · 712 |
Discriminant |
Eigenvalues |
2- -3 -3 7- -3 -6 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49,91] |
[a1,a2,a3,a4,a6] |
Generators |
[18:71:1] [2:1:1] |
Generators of the group modulo torsion |
j |
16595712/5041 |
j-invariant |
L |
4.7363781029887 |
L(r)(E,1)/r! |
Ω |
2.2958069400082 |
Real period |
R |
1.0315279609186 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13916g1 55664i1 |
Quadratic twists by: -4 -7 |