Atkin-Lehner |
2- 3+ 5- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
26790t |
Isogeny class |
Conductor |
26790 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
41149440 = 210 · 32 · 5 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-125,-493] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:8:1] |
Generators of the group modulo torsion |
j |
216108018001/41149440 |
j-invariant |
L |
7.7273943811094 |
L(r)(E,1)/r! |
Ω |
1.4466140797336 |
Real period |
R |
1.0683422053423 |
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 |
80370k1 |
Quadratic twists by: -3 |