Atkin-Lehner |
2- 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400cg |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
2158075612800000000 = 213 · 315 · 58 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 0 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-377208,54492912] |
[a1,a2,a3,a4,a6] |
j |
3709774959385/1348797258 |
j-invariant |
L |
1.4306711359957 |
L(r)(E,1)/r! |
Ω |
0.23844518938264 |
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 |
7050n1 56400cl1 |
Quadratic twists by: -4 5 |