Atkin-Lehner |
2- 3+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618bs |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
-8576508701279361024 = -1 · 211 · 35 · 710 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -5 13- 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-357799,-163363747] |
[a1,a2,a3,a4,a6] |
j |
-17933322358273/30361982976 |
j-invariant |
L |
4.0598076198104 |
L(r)(E,1)/r! |
Ω |
0.092268355045834 |
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 |
72618bx1 |
Quadratic twists by: -7 |