Atkin-Lehner |
2+ 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370h |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13271040 |
Modular degree for the optimal curve |
Δ |
-2.4363863667579E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12686383,29430532837] |
[a1,a2,a3,a4,a6] |
Generators |
[494:152345:1] [7479:590365:1] |
Generators of the group modulo torsion |
j |
-9354997870579612441/10093752054144000 |
j-invariant |
L |
6.4828250308538 |
L(r)(E,1)/r! |
Ω |
0.089727125737483 |
Real period |
R |
18.062611995792 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610r1 |
Quadratic twists by: 17 |