Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3900m |
Isogeny class |
Conductor |
3900 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-116757587700000000 = -1 · 28 · 312 · 58 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40708,16727588] |
[a1,a2,a3,a4,a6] |
Generators |
[-292:1950:1] |
Generators of the group modulo torsion |
j |
-74605986640/1167575877 |
j-invariant |
L |
4.0903696294155 |
L(r)(E,1)/r! |
Ω |
0.28064481391393 |
Real period |
R |
0.4048582869225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
15600bv1 62400bk1 11700v1 3900b1 |
Quadratic twists by: -4 8 -3 5 |