Atkin-Lehner |
2- 5- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410ca |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
625632 |
Modular degree for the optimal curve |
Δ |
3158424706088960 = 219 · 5 · 78 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 11+ -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-56645,-4452533] |
[a1,a2,a3,a4,a6] |
j |
3486780548881/547880960 |
j-invariant |
L |
5.9420837258362 |
L(r)(E,1)/r! |
Ω |
0.31274126459057 |
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 |
102410bi1 |
Quadratic twists by: -7 |