Atkin-Lehner |
3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24843g |
Isogeny class |
Conductor |
24843 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
14040 |
Modular degree for the optimal curve |
Δ |
-709540923 = -1 · 3 · 72 · 136 |
Discriminant |
Eigenvalues |
-2 3+ -2 7- 2 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-394,-3144] |
[a1,a2,a3,a4,a6] |
j |
-28672/3 |
j-invariant |
L |
0.53252709465416 |
L(r)(E,1)/r! |
Ω |
0.53252709465405 |
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 |
74529bg1 24843o1 147c1 |
Quadratic twists by: -3 -7 13 |