Atkin-Lehner |
2- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8330u |
Isogeny class |
Conductor |
8330 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-510220918506250 = -1 · 2 · 55 · 710 · 172 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -1 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,19958,52259] |
[a1,a2,a3,a4,a6] |
j |
3112538751/1806250 |
j-invariant |
L |
3.1408816651372 |
L(r)(E,1)/r! |
Ω |
0.31408816651372 |
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 |
66640bw1 74970y1 41650q1 8330q1 |
Quadratic twists by: -4 -3 5 -7 |