Atkin-Lehner |
2+ 7- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
121618c |
Isogeny class |
Conductor |
121618 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-337557569608 = -1 · 23 · 76 · 173 · 73 |
Discriminant |
Eigenvalues |
2+ 2 0 7- -3 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2720,-62488] |
[a1,a2,a3,a4,a6] |
j |
-18927429625/2869192 |
j-invariant |
L |
0.65556802960018 |
L(r)(E,1)/r! |
Ω |
0.32778474084579 |
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 |
2482d1 |
Quadratic twists by: -7 |