Atkin-Lehner |
2- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103400v |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5068800 |
Modular degree for the optimal curve |
Δ |
-3.05258204317E+21 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 11+ 1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1411008,2735858012] |
[a1,a2,a3,a4,a6] |
j |
-19417462071452644/190786377698125 |
j-invariant |
L |
0.48563236867324 |
L(r)(E,1)/r! |
Ω |
0.12140821256924 |
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 |
20680c1 |
Quadratic twists by: 5 |