Atkin-Lehner |
2- 3+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
72072v |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-12093760014336 = -1 · 211 · 33 · 76 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3051,-179450] |
[a1,a2,a3,a4,a6] |
Generators |
[2514:43741:8] |
Generators of the group modulo torsion |
j |
-56801083302/218709491 |
j-invariant |
L |
4.2611252330214 |
L(r)(E,1)/r! |
Ω |
0.29360705591884 |
Real period |
R |
7.2565102687806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000117 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72072c2 |
Quadratic twists by: -3 |