Atkin-Lehner |
2- 3- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109980l |
Isogeny class |
Conductor |
109980 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-2850681600 = -1 · 28 · 36 · 52 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 5 13- -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,-2572] |
[a1,a2,a3,a4,a6] |
j |
-65536/15275 |
j-invariant |
L |
1.2780689149891 |
L(r)(E,1)/r! |
Ω |
0.63903441573744 |
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 |
12220g1 |
Quadratic twists by: -3 |