Atkin-Lehner |
2+ 3+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115434a |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28233216 |
Modular degree for the optimal curve |
Δ |
3.2150030033945E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-656400036,-6472767348976] |
[a1,a2,a3,a4,a6] |
Generators |
[7487354245640940317866999153883600:4155320082494562695802138835972116604:24095511720410586422593245697] |
Generators of the group modulo torsion |
j |
491282812365679136529/504990784 |
j-invariant |
L |
5.6855025545728 |
L(r)(E,1)/r! |
Ω |
0.029826851063287 |
Real period |
R |
47.654230600049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115434bb1 115434ba1 |
Quadratic twists by: -3 -11 |