Atkin-Lehner |
2+ 3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666u |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
5346432 |
Modular degree for the optimal curve |
Δ |
-6881047840916938962 = -1 · 2 · 313 · 7 · 137 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ -2 13+ 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1885199,-1004404516] |
[a1,a2,a3,a4,a6] |
j |
-153509362902771121/1425589419618 |
j-invariant |
L |
1.674028318453 |
L(r)(E,1)/r! |
Ω |
0.064385742411855 |
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 |
9282w1 |
Quadratic twists by: 13 |