Atkin-Lehner |
2- 3+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115434ba |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2566656 |
Modular degree for the optimal curve |
Δ |
18147853804608 = 26 · 33 · 113 · 534 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5424794,4864565401] |
[a1,a2,a3,a4,a6] |
j |
491282812365679136529/504990784 |
j-invariant |
L |
5.2151792622604 |
L(r)(E,1)/r! |
Ω |
0.4345983228386 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115434b1 115434a1 |
Quadratic twists by: -3 -11 |