Atkin-Lehner |
2- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
24674g |
Isogeny class |
Conductor |
24674 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
31200 |
Modular degree for the optimal curve |
Δ |
-1905546964256 = -1 · 25 · 138 · 73 |
Discriminant |
Eigenvalues |
2- 0 1 1 -2 13+ 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4257,-124783] |
[a1,a2,a3,a4,a6] |
j |
-10456641/2336 |
j-invariant |
L |
4.38081068746 |
L(r)(E,1)/r! |
Ω |
0.29205404583065 |
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 |
24674c1 |
Quadratic twists by: 13 |