Atkin-Lehner |
2+ 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
72072c |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8816351050450944 = -1 · 211 · 39 · 76 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27459,4845150] |
[a1,a2,a3,a4,a6] |
Generators |
[-583282:2848105:2744] |
Generators of the group modulo torsion |
j |
-56801083302/218709491 |
j-invariant |
L |
7.9988052030679 |
L(r)(E,1)/r! |
Ω |
0.35976137138629 |
Real period |
R |
11.116820535891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72072v2 |
Quadratic twists by: -3 |