Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
22090g |
Isogeny class |
Conductor |
22090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
648477594192640 = 28 · 5 · 477 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 3 5 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-96138,-11415684] |
[a1,a2,a3,a4,a6] |
Generators |
[-64869:67607:343] |
Generators of the group modulo torsion |
j |
9116230969/60160 |
j-invariant |
L |
5.1924615250165 |
L(r)(E,1)/r! |
Ω |
0.27123704742828 |
Real period |
R |
2.3929536793777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110450ba1 470a1 |
Quadratic twists by: 5 -47 |