Atkin-Lehner |
2+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75088i |
Isogeny class |
Conductor |
75088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-185925321712 = -1 · 24 · 13 · 197 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 6 13- 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,361,20577] |
[a1,a2,a3,a4,a6] |
Generators |
[456:9747:1] |
Generators of the group modulo torsion |
j |
6912/247 |
j-invariant |
L |
7.5735439334927 |
L(r)(E,1)/r! |
Ω |
0.76320854468181 |
Real period |
R |
2.4808238799508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37544k1 3952b1 |
Quadratic twists by: -4 -19 |