Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
26450p |
Isogeny class |
Conductor |
26450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
317952 |
Modular degree for the optimal curve |
Δ |
-61180457250781250 = -1 · 2 · 58 · 238 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 0 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-297838,63560781] |
[a1,a2,a3,a4,a6] |
Generators |
[16881300:76656347:46656] |
Generators of the group modulo torsion |
j |
-2387929/50 |
j-invariant |
L |
7.8737885238523 |
L(r)(E,1)/r! |
Ω |
0.35049267580213 |
Real period |
R |
11.232458004768 |
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 |
5290a1 26450q1 |
Quadratic twists by: 5 -23 |