Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24276b |
Isogeny class |
Conductor |
24276 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
21094690501584 = 24 · 33 · 7 · 178 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16569,-785106] |
[a1,a2,a3,a4,a6] |
j |
1302642688/54621 |
j-invariant |
L |
0.42188699039604 |
L(r)(E,1)/r! |
Ω |
0.42188699039594 |
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 |
97104cq1 72828n1 1428d1 |
Quadratic twists by: -4 -3 17 |