Atkin-Lehner |
2+ 3- 5+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
26070k |
Isogeny class |
Conductor |
26070 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
162240 |
Modular degree for the optimal curve |
Δ |
1640182579200000 = 226 · 32 · 55 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-48384,3599182] |
[a1,a2,a3,a4,a6] |
j |
12526107009615863929/1640182579200000 |
j-invariant |
L |
0.45649957064465 |
L(r)(E,1)/r! |
Ω |
0.4564995706444 |
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 |
78210bv1 |
Quadratic twists by: -3 |