Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45600bp |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-285803727075000000 = -1 · 26 · 35 · 58 · 196 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,145342,-14329812] |
[a1,a2,a3,a4,a6] |
Generators |
[794:8325:8] |
Generators of the group modulo torsion |
j |
339542483015744/285803727075 |
j-invariant |
L |
7.6527869263032 |
L(r)(E,1)/r! |
Ω |
0.17027119046333 |
Real period |
R |
4.494469619599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600z1 91200fp2 9120a1 |
Quadratic twists by: -4 8 5 |