Atkin-Lehner |
2- 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
80688t |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7934976 |
Modular degree for the optimal curve |
Δ |
5.7872800215135E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -1 -5 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30164424,-62696930832] |
[a1,a2,a3,a4,a6] |
Generators |
[-190492:1702853:64] |
Generators of the group modulo torsion |
j |
92806423177/1769472 |
j-invariant |
L |
2.1834628031432 |
L(r)(E,1)/r! |
Ω |
0.064495397545209 |
Real period |
R |
5.6424253762084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999844136 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10086l1 80688bb1 |
Quadratic twists by: -4 41 |