Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200i |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
5920000000000 = 214 · 510 · 37 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 3 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4533,11437] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:25:1] |
Generators of the group modulo torsion |
j |
40247296/23125 |
j-invariant |
L |
3.8404528071204 |
L(r)(E,1)/r! |
Ω |
0.64655728986115 |
Real period |
R |
2.9699246047052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200cb1 3700d1 11840f1 |
Quadratic twists by: -4 8 5 |