Atkin-Lehner |
2+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
61370c |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
3.4177124442289E+21 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 2 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23678960,44266476800] |
[a1,a2,a3,a4,a6] |
j |
31209728336698362849/72646369280000 |
j-invariant |
L |
0.56513602587764 |
L(r)(E,1)/r! |
Ω |
0.14128400668318 |
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 |
3230d1 |
Quadratic twists by: -19 |