Atkin-Lehner |
2+ 3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850bl |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-458556120000000000 = -1 · 212 · 33 · 510 · 114 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,190349,6317198] |
[a1,a2,a3,a4,a6] |
j |
48815614945382111/29347591680000 |
j-invariant |
L |
2.1793569006484 |
L(r)(E,1)/r! |
Ω |
0.18161307504888 |
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 |
9570r1 |
Quadratic twists by: 5 |