Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
55664k |
Isogeny class |
Conductor |
55664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-309073122346139648 = -1 · 220 · 77 · 713 |
Discriminant |
Eigenvalues |
2- 1 0 7- 3 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,128952,19987316] |
[a1,a2,a3,a4,a6] |
Generators |
[835:26656:1] |
Generators of the group modulo torsion |
j |
492103442375/641376512 |
j-invariant |
L |
7.5076946620448 |
L(r)(E,1)/r! |
Ω |
0.20603356907995 |
Real period |
R |
4.5548977136909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6958f1 7952c1 |
Quadratic twists by: -4 -7 |