Atkin-Lehner |
2- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
59800i |
Isogeny class |
Conductor |
59800 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2451456 |
Modular degree for the optimal curve |
Δ |
-1.085942771875E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 2 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19861700,34073736500] |
[a1,a2,a3,a4,a6] |
Generators |
[2740:14950:1] [-1420:243750:1] |
Generators of the group modulo torsion |
j |
-216627193999441972224/27148569296875 |
j-invariant |
L |
9.2834915729413 |
L(r)(E,1)/r! |
Ω |
0.18088533987136 |
Real period |
R |
0.53460958907431 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119600b1 11960a1 |
Quadratic twists by: -4 5 |