Atkin-Lehner |
2- 3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850co |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-2638000406250 = -1 · 2 · 37 · 56 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ -3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1113,-79533] |
[a1,a2,a3,a4,a6] |
j |
-9759185353/168832026 |
j-invariant |
L |
2.4375543482602 |
L(r)(E,1)/r! |
Ω |
0.34822204978375 |
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 |
1914c1 |
Quadratic twists by: 5 |