Atkin-Lehner |
2- 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080cf |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-17680343040000 = -1 · 216 · 34 · 54 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4479,167679] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:312:1] [-6:375:1] |
Generators of the group modulo torsion |
j |
151596789116/269780625 |
j-invariant |
L |
11.111661344378 |
L(r)(E,1)/r! |
Ω |
0.47437129707528 |
Real period |
R |
2.9279968594413 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70080f2 17520d2 |
Quadratic twists by: -4 8 |