Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240bm |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-91804925952000 = -1 · 232 · 32 · 53 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5025,-482625] |
[a1,a2,a3,a4,a6] |
Generators |
[585:14040:1] |
Generators of the group modulo torsion |
j |
-53540005609/350208000 |
j-invariant |
L |
6.2805322509545 |
L(r)(E,1)/r! |
Ω |
0.25248839786209 |
Real period |
R |
4.1457563358251 |
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 |
18240cg1 570b1 54720w1 91200f1 |
Quadratic twists by: -4 8 -3 5 |