Atkin-Lehner |
3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53655k |
Isogeny class |
Conductor |
53655 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5120640 |
Modular degree for the optimal curve |
Δ |
1.1098803445331E+22 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 0 -6 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-34682545,-78441524862] |
[a1,a2,a3,a4,a6] |
Generators |
[27694:4494487:1] |
Generators of the group modulo torsion |
j |
94158714338567800388583424/226506192761860678125 |
j-invariant |
L |
3.8677426264187 |
L(r)(E,1)/r! |
Ω |
0.062220657124659 |
Real period |
R |
6.2161712928859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53655m1 |
Quadratic twists by: -7 |