Atkin-Lehner |
2+ 3- 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
26790i |
Isogeny class |
Conductor |
26790 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-602775000 = -1 · 23 · 33 · 55 · 19 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-149,-1384] |
[a1,a2,a3,a4,a6] |
j |
-362314607689/602775000 |
j-invariant |
L |
1.940458962022 |
L(r)(E,1)/r! |
Ω |
0.64681965400745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80370cb1 |
Quadratic twists by: -3 |