Atkin-Lehner |
2+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
24850l |
Isogeny class |
Conductor |
24850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2280000 |
Modular degree for the optimal curve |
Δ |
3.9422592135987E+23 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -3 -1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18735242,7859516916] |
[a1,a2,a3,a4,a6] |
Generators |
[55919:13155853:1] |
Generators of the group modulo torsion |
j |
372367361659607324037/201843671736254464 |
j-invariant |
L |
2.8344148337179 |
L(r)(E,1)/r! |
Ω |
0.082779506572626 |
Real period |
R |
5.7067563198368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24850bf1 |
Quadratic twists by: 5 |