Atkin-Lehner |
2- 7- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
113386y |
Isogeny class |
Conductor |
113386 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32000 |
Modular degree for the optimal curve |
Δ |
-20636252 = -1 · 22 · 73 · 132 · 89 |
Discriminant |
Eigenvalues |
2- 0 4 7- 0 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48,-241] |
[a1,a2,a3,a4,a6] |
Generators |
[1031970:5667797:27000] |
Generators of the group modulo torsion |
j |
-34965783/60164 |
j-invariant |
L |
14.244324245878 |
L(r)(E,1)/r! |
Ω |
0.85824752115777 |
Real period |
R |
8.2984942614513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999911631 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113386q1 |
Quadratic twists by: -7 |