Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22542v |
Isogeny class |
Conductor |
22542 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
220320 |
Modular degree for the optimal curve |
Δ |
2507254642473984 = 210 · 33 · 13 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 1 5 -2 13+ 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50870,-3722317] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:373:1] |
Generators of the group modulo torsion |
j |
2086979041/359424 |
j-invariant |
L |
8.2218441644918 |
L(r)(E,1)/r! |
Ω |
0.32163336869328 |
Real period |
R |
0.85209278273325 |
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 |
67626p1 22542x1 |
Quadratic twists by: -3 17 |