Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
24480k |
Isogeny class |
Conductor |
24480 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-10557772680600000 = -1 · 26 · 37 · 55 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1353,-4943648] |
[a1,a2,a3,a4,a6] |
Generators |
[224:2448:1] |
Generators of the group modulo torsion |
j |
-5870966464/226289709375 |
j-invariant |
L |
4.6909154189546 |
L(r)(E,1)/r! |
Ω |
0.18518698300457 |
Real period |
R |
2.1108914455212 |
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 |
24480j1 48960fv1 8160p1 122400cu1 |
Quadratic twists by: -4 8 -3 5 |