Atkin-Lehner |
2- 3- 5- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
101970cj |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-2180526480 = -1 · 24 · 37 · 5 · 112 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- 2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-797,9141] |
[a1,a2,a3,a4,a6] |
Generators |
[29:84:1] |
Generators of the group modulo torsion |
j |
-76711450249/2991120 |
j-invariant |
L |
12.011182710446 |
L(r)(E,1)/r! |
Ω |
1.4526929432102 |
Real period |
R |
0.51676365761258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33990b1 |
Quadratic twists by: -3 |