Atkin-Lehner |
2- 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
59024ba |
Isogeny class |
Conductor |
59024 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
128873934651392 = 215 · 72 · 174 · 312 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -2 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30464,-1982540] |
[a1,a2,a3,a4,a6] |
Generators |
[442:-8432:1] |
Generators of the group modulo torsion |
j |
763376524275457/31463362952 |
j-invariant |
L |
3.1759928870803 |
L(r)(E,1)/r! |
Ω |
0.36228871153464 |
Real period |
R |
0.54790433468492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992582 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378o2 |
Quadratic twists by: -4 |