Atkin-Lehner |
2- 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120ch |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-72659488320 = -1 · 26 · 37 · 5 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 2 1 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,660,-11430] |
[a1,a2,a3,a4,a6] |
j |
496040751296/1135304505 |
j-invariant |
L |
1.6984901152084 |
L(r)(E,1)/r! |
Ω |
0.56616337185091 |
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 |
45120cx1 22560f1 |
Quadratic twists by: -4 8 |