Atkin-Lehner |
2+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
26450k |
Isogeny class |
Conductor |
26450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
2814301033535937500 = 22 · 58 · 239 |
Discriminant |
Eigenvalues |
2+ -2 5- 1 -3 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-502826,110952048] |
[a1,a2,a3,a4,a6] |
Generators |
[-669:12501:1] |
Generators of the group modulo torsion |
j |
243135625/48668 |
j-invariant |
L |
2.2974051760967 |
L(r)(E,1)/r! |
Ω |
0.24141615260437 |
Real period |
R |
1.1895461174162 |
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 |
26450r1 1150d1 |
Quadratic twists by: 5 -23 |