Atkin-Lehner |
2+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
119072d |
Isogeny class |
Conductor |
119072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
952320 |
Modular degree for the optimal curve |
Δ |
-12872674656342016 = -1 · 212 · 617 |
Discriminant |
Eigenvalues |
2+ -2 -3 1 3 -7 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64497,8317951] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:3721:1] |
Generators of the group modulo torsion |
j |
-140608/61 |
j-invariant |
L |
2.63696501007 |
L(r)(E,1)/r! |
Ω |
0.37362519071835 |
Real period |
R |
1.7644454014727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119072f1 1952b1 |
Quadratic twists by: -4 61 |