Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89376s |
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 |
[945009:33969250:729] |
Generators of the group modulo torsion |
j |
4188852928/159201 |
j-invariant |
L |
10.255057009195 |
L(r)(E,1)/r! |
Ω |
0.53127533894011 |
Real period |
R |
9.6513580167501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005882 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89376l1 12768g1 |
Quadratic twists by: -4 -7 |