Atkin-Lehner |
2+ 3- 7- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
123354x |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-223347965524992 = -1 · 210 · 310 · 73 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11+ -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3780,-723632] |
[a1,a2,a3,a4,a6] |
j |
-8194759433281/306375810048 |
j-invariant |
L |
2.9302347193617 |
L(r)(E,1)/r! |
Ω |
0.24418619154715 |
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 |
41118q1 |
Quadratic twists by: -3 |