Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400cd |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-332917257750000 = -1 · 24 · 3 · 56 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -3 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41508,-3385137] |
[a1,a2,a3,a4,a6] |
Generators |
[4499632736796567163699380463:128514597908733504981642976557:5189230740271115148949619] |
Generators of the group modulo torsion |
j |
-31636584484096/1331669031 |
j-invariant |
L |
7.4792977653824 |
L(r)(E,1)/r! |
Ω |
0.16682725536081 |
Real period |
R |
44.832588950807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46200by1 3696e1 |
Quadratic twists by: -4 5 |