Atkin-Lehner |
2- 5- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
35650s |
Isogeny class |
Conductor |
35650 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
81600 |
Modular degree for the optimal curve |
Δ |
14145920000 = 210 · 54 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 0 5- -1 1 5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72355,-7473053] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:78:1] |
Generators of the group modulo torsion |
j |
67026063125099025/22633472 |
j-invariant |
L |
8.4658932840853 |
L(r)(E,1)/r! |
Ω |
0.29109375973837 |
Real period |
R |
1.4541523136213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35650b1 |
Quadratic twists by: 5 |