Atkin-Lehner |
2+ 3+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040g |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
12431250000 = 24 · 32 · 58 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-871,-8030] |
[a1,a2,a3,a4,a6] |
Generators |
[-402:1016:27] |
Generators of the group modulo torsion |
j |
4572531595264/776953125 |
j-invariant |
L |
4.7531202955048 |
L(r)(E,1)/r! |
Ω |
0.88890048916567 |
Real period |
R |
5.3471905499408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26520f1 |
Quadratic twists by: -4 |