Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
24800n |
Isogeny class |
Conductor |
24800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-396800 = -1 · 29 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 -3 -3 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5,30] |
[a1,a2,a3,a4,a6] |
Generators |
[1:6:1] |
Generators of the group modulo torsion |
j |
1080/31 |
j-invariant |
L |
4.2735204695436 |
L(r)(E,1)/r! |
Ω |
2.2568930430356 |
Real period |
R |
0.94677071266867 |
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 |
24800l1 49600bx1 24800j1 |
Quadratic twists by: -4 8 5 |