Atkin-Lehner |
2- 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
80688r |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
881664 |
Modular degree for the optimal curve |
Δ |
98118761215438848 = 212 · 3 · 418 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 3 3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-390552,92857008] |
[a1,a2,a3,a4,a6] |
Generators |
[1052816:12549349:4096] |
Generators of the group modulo torsion |
j |
201433/3 |
j-invariant |
L |
7.6990839464455 |
L(r)(E,1)/r! |
Ω |
0.33779106071286 |
Real period |
R |
11.396222165859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5043d1 80688z1 |
Quadratic twists by: -4 41 |