Atkin-Lehner |
2- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
22960j |
Isogeny class |
Conductor |
22960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
22132352614400 = 218 · 52 · 72 · 413 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1125496,-459208080] |
[a1,a2,a3,a4,a6] |
Generators |
[3033:154980:1] |
Generators of the group modulo torsion |
j |
38494263748526418169/5403406400 |
j-invariant |
L |
6.9437919597317 |
L(r)(E,1)/r! |
Ω |
0.14657622660604 |
Real period |
R |
3.9477706813459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2870d1 91840bm1 114800cb1 |
Quadratic twists by: -4 8 5 |