Atkin-Lehner |
2+ 3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
26334y |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
123648 |
Modular degree for the optimal curve |
Δ |
-362768186620224 = -1 · 26 · 37 · 7 · 117 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14940,-591728] |
[a1,a2,a3,a4,a6] |
Generators |
[48:460:1] |
Generators of the group modulo torsion |
j |
505861496763839/497624398656 |
j-invariant |
L |
4.2187799984493 |
L(r)(E,1)/r! |
Ω |
0.29271200300771 |
Real period |
R |
0.51474047077723 |
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 |
8778m1 |
Quadratic twists by: -3 |