Atkin-Lehner |
2- 3+ 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
113520bd |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
615168 |
Modular degree for the optimal curve |
Δ |
-3151898130308400 = -1 · 24 · 318 · 52 · 11 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11+ 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26025,-3138948] |
[a1,a2,a3,a4,a6] |
j |
-121840769029881856/196993633144275 |
j-invariant |
L |
3.203216339591 |
L(r)(E,1)/r! |
Ω |
0.17795645751498 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28380f1 |
Quadratic twists by: -4 |