Atkin-Lehner |
2+ 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
26350g |
Isogeny class |
Conductor |
26350 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
3802309117187500 = 22 · 59 · 17 · 315 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 2 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-79451,-8099702] |
[a1,a2,a3,a4,a6] |
Generators |
[1552:59286:1] |
Generators of the group modulo torsion |
j |
28397749162229/1946782268 |
j-invariant |
L |
5.2037718091126 |
L(r)(E,1)/r! |
Ω |
0.28559114056668 |
Real period |
R |
0.91105273762818 |
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 |
26350v1 |
Quadratic twists by: 5 |