Atkin-Lehner |
2+ 3- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
93786bq |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
13824000 |
Modular degree for the optimal curve |
Δ |
5.9538813121407E+22 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31342337,-66511983436] |
[a1,a2,a3,a4,a6] |
Generators |
[-3468:23563:1] |
Generators of the group modulo torsion |
j |
28942069356527426362873/506071561351200768 |
j-invariant |
L |
5.4524670484407 |
L(r)(E,1)/r! |
Ω |
0.06387449462364 |
Real period |
R |
0.85362194878512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999827804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398h1 |
Quadratic twists by: -7 |