Atkin-Lehner |
3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24843d |
Isogeny class |
Conductor |
24843 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-35775762878583 = -1 · 32 · 77 · 136 |
Discriminant |
Eigenvalues |
1 3+ -2 7- -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8109,65304] |
[a1,a2,a3,a4,a6] |
j |
103823/63 |
j-invariant |
L |
0.80130464411703 |
L(r)(E,1)/r! |
Ω |
0.40065232205854 |
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 |
74529bc1 3549c1 147a1 |
Quadratic twists by: -3 -7 13 |