Atkin-Lehner |
2- 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608dc |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
47104 |
Modular degree for the optimal curve |
Δ |
1403584512 = 216 · 3 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-353,1695] |
[a1,a2,a3,a4,a6] |
j |
74438500/21417 |
j-invariant |
L |
2.8240821678838 |
L(r)(E,1)/r! |
Ω |
1.4120412354016 |
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 |
124608l1 31152b1 |
Quadratic twists by: -4 8 |