Atkin-Lehner |
2- 5- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24140c |
Isogeny class |
Conductor |
24140 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
19296 |
Modular degree for the optimal curve |
Δ |
-656608000 = -1 · 28 · 53 · 172 · 71 |
Discriminant |
Eigenvalues |
2- 2 5- -1 2 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7485,-246775] |
[a1,a2,a3,a4,a6] |
j |
-181182889517056/2564875 |
j-invariant |
L |
4.619435515637 |
L(r)(E,1)/r! |
Ω |
0.25663530642428 |
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 |
96560k1 120700b1 |
Quadratic twists by: -4 5 |