Atkin-Lehner |
3- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
36975bj |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
1.0960737268526E+19 |
Discriminant |
Eigenvalues |
1 3- 5- 2 0 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3162756,2158812133] |
[a1,a2,a3,a4,a6] |
Generators |
[-217:53352:1] |
Generators of the group modulo torsion |
j |
27990494212188555933677/87685898148209349 |
j-invariant |
L |
8.9815441035953 |
L(r)(E,1)/r! |
Ω |
0.22835237276253 |
Real period |
R |
0.40970781230463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110925bq1 36975p1 |
Quadratic twists by: -3 5 |