Atkin-Lehner |
2- 3+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71994y |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-112590417035304 = -1 · 23 · 35 · 138 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 5 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1033016,-404549215] |
[a1,a2,a3,a4,a6] |
j |
-25257174755560201/23326056 |
j-invariant |
L |
3.5940491119808 |
L(r)(E,1)/r! |
Ω |
0.074876023290841 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5538b1 |
Quadratic twists by: 13 |