Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344ff |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
21320672256 = 210 · 36 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 5 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6084,182520] |
[a1,a2,a3,a4,a6] |
Generators |
[13:325:1] |
Generators of the group modulo torsion |
j |
1168128 |
j-invariant |
L |
8.2083503868155 |
L(r)(E,1)/r! |
Ω |
1.201986757746 |
Real period |
R |
2.2763285694057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959822 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344bs1 24336bv1 10816bj1 97344fj1 |
Quadratic twists by: -4 8 -3 13 |