Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25440r |
Isogeny class |
Conductor |
25440 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-50880000000 = -1 · 212 · 3 · 57 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,675,-8277] |
[a1,a2,a3,a4,a6] |
Generators |
[41:300:1] |
Generators of the group modulo torsion |
j |
8291469824/12421875 |
j-invariant |
L |
6.0550116600684 |
L(r)(E,1)/r! |
Ω |
0.59586797531051 |
Real period |
R |
0.72583332345835 |
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 |
25440bb1 50880k1 76320br1 127200cj1 |
Quadratic twists by: -4 8 -3 5 |