Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
26040g |
Isogeny class |
Conductor |
26040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-4068750000 = -1 · 24 · 3 · 58 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9,-3066] |
[a1,a2,a3,a4,a6] |
Generators |
[38920:340641:512] |
Generators of the group modulo torsion |
j |
4499456/254296875 |
j-invariant |
L |
5.5085321891234 |
L(r)(E,1)/r! |
Ω |
0.6397692978634 |
Real period |
R |
8.6101852769738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52080c1 78120bi1 |
Quadratic twists by: -4 -3 |