Atkin-Lehner |
2- 3- 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
10302g |
Isogeny class |
Conductor |
10302 |
Conductor |
∏ cp |
65 |
Product of Tamagawa factors cp |
deg |
5200 |
Modular degree for the optimal curve |
Δ |
3417956352 = 213 · 35 · 17 · 101 |
Discriminant |
Eigenvalues |
2- 3- -2 0 2 0 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-594,-4860] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:30:1] |
Generators of the group modulo torsion |
j |
23180817201697/3417956352 |
j-invariant |
L |
7.2302140482747 |
L(r)(E,1)/r! |
Ω |
0.97658595112442 |
Real period |
R |
0.11390094456415 |
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 |
82416i1 30906e1 |
Quadratic twists by: -4 -3 |