Atkin-Lehner |
2+ 3+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
96720j |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
6518154240 = 210 · 35 · 5 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12520,-535040] |
[a1,a2,a3,a4,a6] |
Generators |
[132:308:1] |
Generators of the group modulo torsion |
j |
211968550357924/6365385 |
j-invariant |
L |
3.8270833707517 |
L(r)(E,1)/r! |
Ω |
0.45133224704481 |
Real period |
R |
4.2397628330721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48360y1 |
Quadratic twists by: -4 |