Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020bp |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
-2.7085583026749E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36303708,-115577794843] |
[a1,a2,a3,a4,a6] |
Generators |
[108944770167492575371608879988706128:16334617661747523102281458808182167477:4505654387218774084481175998464] |
Generators of the group modulo torsion |
j |
-3856034557002072064/1973796785296875 |
j-invariant |
L |
6.0536273046718 |
L(r)(E,1)/r! |
Ω |
0.03002699559186 |
Real period |
R |
50.401540197367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005541 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32340k1 13860t1 |
Quadratic twists by: -3 -7 |