Atkin-Lehner |
2+ 5- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
86950j |
Isogeny class |
Conductor |
86950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
489600 |
Modular degree for the optimal curve |
Δ |
-81733000000000 = -1 · 29 · 59 · 37 · 472 |
Discriminant |
Eigenvalues |
2+ 2 5- 3 -3 -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-122325,16422125] |
[a1,a2,a3,a4,a6] |
Generators |
[1630:-65:8] |
Generators of the group modulo torsion |
j |
-103644173769317/41847296 |
j-invariant |
L |
7.4568857866499 |
L(r)(E,1)/r! |
Ω |
0.59816191520921 |
Real period |
R |
3.1165833145398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012489 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86950y1 |
Quadratic twists by: 5 |