Atkin-Lehner |
2- 5+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121550bv |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-995737600000000 = -1 · 220 · 58 · 11 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11- 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,23120,-694253] |
[a1,a2,a3,a4,a6] |
j |
87475168068471/63727206400 |
j-invariant |
L |
5.5471100832268 |
L(r)(E,1)/r! |
Ω |
0.27735542147373 |
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 |
24310g1 |
Quadratic twists by: 5 |