Atkin-Lehner |
2- 7- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
88816m |
Isogeny class |
Conductor |
88816 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
2640744340369408 = 212 · 75 · 132 · 613 |
Discriminant |
Eigenvalues |
2- -3 0 7- -3 13+ 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37075,-1198766] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:854:1] [-50:728:1] |
Generators of the group modulo torsion |
j |
1375964544515625/644712973723 |
j-invariant |
L |
7.1305849907826 |
L(r)(E,1)/r! |
Ω |
0.36005354574022 |
Real period |
R |
0.33007058140291 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5551a1 |
Quadratic twists by: -4 |