Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
55664p |
Isogeny class |
Conductor |
55664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
8.6138758903296E+19 |
Discriminant |
Eigenvalues |
2- -2 1 7- -4 0 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13158280,-18370551564] |
[a1,a2,a3,a4,a6] |
Generators |
[-75936305878884:68107233939114:36561310759] |
Generators of the group modulo torsion |
j |
217761333851929/74448896 |
j-invariant |
L |
3.4767801234535 |
L(r)(E,1)/r! |
Ω |
0.079269967769182 |
Real period |
R |
21.929995818701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6958g1 55664d1 |
Quadratic twists by: -4 -7 |