Atkin-Lehner |
2+ 3+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
46992b |
Isogeny class |
Conductor |
46992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14720 |
Modular degree for the optimal curve |
Δ |
-669917952 = -1 · 28 · 35 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11- -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23,1237] |
[a1,a2,a3,a4,a6] |
j |
5030912/2616867 |
j-invariant |
L |
2.5134779203788 |
L(r)(E,1)/r! |
Ω |
1.2567389602637 |
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 |
23496d1 |
Quadratic twists by: -4 |