Atkin-Lehner |
2- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45632p |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-15508296580096 = -1 · 210 · 232 · 315 |
Discriminant |
Eigenvalues |
2- 2 -3 -1 2 0 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4857,231569] |
[a1,a2,a3,a4,a6] |
j |
-12377059508992/15144820879 |
j-invariant |
L |
1.2642584417803 |
L(r)(E,1)/r! |
Ω |
0.63212922087887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45632m1 11408f1 |
Quadratic twists by: -4 8 |