Atkin-Lehner |
2- 3- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680da |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-3914491072757760000 = -1 · 217 · 36 · 54 · 116 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-198440,101022900] |
[a1,a2,a3,a4,a6] |
Generators |
[-242:11616:1] |
Generators of the group modulo torsion |
j |
-210985985036261161/955686297060000 |
j-invariant |
L |
10.355532182723 |
L(r)(E,1)/r! |
Ω |
0.21551406622843 |
Real period |
R |
0.33368317473404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12210g2 |
Quadratic twists by: -4 |