Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
99176i |
Isogeny class |
Conductor |
99176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-30199916987820272 = -1 · 24 · 714 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 11- -5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,60352,-6090631] |
[a1,a2,a3,a4,a6] |
Generators |
[380:8477:1] |
Generators of the group modulo torsion |
j |
12914669408000/16043441183 |
j-invariant |
L |
6.3615873069131 |
L(r)(E,1)/r! |
Ω |
0.19907516150218 |
Real period |
R |
3.99446322654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017935 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14168g1 |
Quadratic twists by: -7 |