Atkin-Lehner |
2- 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150cu |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-14700028710937500 = -1 · 22 · 36 · 511 · 74 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 0 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,47937,4212117] |
[a1,a2,a3,a4,a6] |
j |
779678707855319/940801837500 |
j-invariant |
L |
3.1689319922806 |
L(r)(E,1)/r! |
Ω |
0.26407766600217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030f1 |
Quadratic twists by: 5 |