Atkin-Lehner |
2+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28336h |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
10752265216 = 210 · 73 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3 3 7- 11+ 1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-691,4898] |
[a1,a2,a3,a4,a6] |
j |
35633452068/10500259 |
j-invariant |
L |
7.1397429218856 |
L(r)(E,1)/r! |
Ω |
1.1899571536478 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14168c1 113344ej1 |
Quadratic twists by: -4 8 |