Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376l |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1198709660736 = 26 · 32 · 78 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6582,200880] |
[a1,a2,a3,a4,a6] |
Generators |
[432:8820:1] |
Generators of the group modulo torsion |
j |
4188852928/159201 |
j-invariant |
L |
5.5609948226967 |
L(r)(E,1)/r! |
Ω |
0.85813136535608 |
Real period |
R |
3.240176878692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000878 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89376s1 12768h1 |
Quadratic twists by: -4 -7 |