Atkin-Lehner |
2- 5+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
55760q |
Isogeny class |
Conductor |
55760 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-161146400000 = -1 · 28 · 55 · 173 · 41 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 -2 6 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-956,-22100] |
[a1,a2,a3,a4,a6] |
j |
-377843214544/629478125 |
j-invariant |
L |
1.2180859851886 |
L(r)(E,1)/r! |
Ω |
0.40602866193655 |
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 |
13940c1 |
Quadratic twists by: -4 |