Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696ei |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-48980118528 = -1 · 210 · 33 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,10648] |
[a1,a2,a3,a4,a6] |
Generators |
[26:168:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
4.6047271475953 |
L(r)(E,1)/r! |
Ω |
0.89683868794921 |
Real period |
R |
2.5671992128689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696o1 17424be1 69696ei3 576e1 |
Quadratic twists by: -4 8 -3 -11 |