Atkin-Lehner |
2- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
26320i |
Isogeny class |
Conductor |
26320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
862453760000 = 222 · 54 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -2 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4376,-100624] |
[a1,a2,a3,a4,a6] |
j |
2263054145689/210560000 |
j-invariant |
L |
1.1809550167194 |
L(r)(E,1)/r! |
Ω |
0.59047750835965 |
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 |
3290a1 105280bn1 |
Quadratic twists by: -4 8 |