Atkin-Lehner |
2- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
22960q |
Isogeny class |
Conductor |
22960 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-180006400000 = -1 · 212 · 55 · 73 · 41 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 4 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1408,1776] |
[a1,a2,a3,a4,a6] |
Generators |
[17:175:1] |
Generators of the group modulo torsion |
j |
75365351424/43946875 |
j-invariant |
L |
5.8431681550584 |
L(r)(E,1)/r! |
Ω |
0.61198557847975 |
Real period |
R |
0.63652569172992 |
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 |
1435a1 91840be1 114800be1 |
Quadratic twists by: -4 8 5 |