Atkin-Lehner |
2+ 3- 7+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
26418g |
Isogeny class |
Conductor |
26418 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-2772780444 = -1 · 22 · 33 · 74 · 172 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-535,-5434] |
[a1,a2,a3,a4,a6] |
j |
-16889532268393/2772780444 |
j-invariant |
L |
2.9521440917003 |
L(r)(E,1)/r! |
Ω |
0.49202401528332 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79254be1 |
Quadratic twists by: -3 |