Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
53100z |
Isogeny class |
Conductor |
53100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
713713781250000 = 24 · 38 · 59 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25500,-896875] |
[a1,a2,a3,a4,a6] |
Generators |
[-137110:147913:1000] |
Generators of the group modulo torsion |
j |
80494592/31329 |
j-invariant |
L |
6.0483499996169 |
L(r)(E,1)/r! |
Ω |
0.39053278865766 |
Real period |
R |
7.7437159891298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17700e1 53100ba1 |
Quadratic twists by: -3 5 |