Atkin-Lehner |
2- 7- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
113386q |
Isogeny class |
Conductor |
113386 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
224000 |
Modular degree for the optimal curve |
Δ |
-2427834411548 = -1 · 22 · 79 · 132 · 89 |
Discriminant |
Eigenvalues |
2- 0 -4 7- 0 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2337,87245] |
[a1,a2,a3,a4,a6] |
Generators |
[139:1490:1] |
Generators of the group modulo torsion |
j |
-34965783/60164 |
j-invariant |
L |
6.8962306177515 |
L(r)(E,1)/r! |
Ω |
0.72968296904814 |
Real period |
R |
4.7254978599303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113386y1 |
Quadratic twists by: -7 |