Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600y |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
4031250000 = 24 · 3 · 59 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-134383,-19006012] |
[a1,a2,a3,a4,a6] |
Generators |
[9980000636053281080:-17274334765608660033:23521489903808000] |
Generators of the group modulo torsion |
j |
1073544204384256/16125 |
j-invariant |
L |
7.8762268859536 |
L(r)(E,1)/r! |
Ω |
0.24935219909524 |
Real period |
R |
31.586755258176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25800a1 10320e1 |
Quadratic twists by: -4 5 |