Atkin-Lehner |
2+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114920f |
Isogeny class |
Conductor |
114920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
892766592640000 = 210 · 54 · 136 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27547,1015014] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:1650:1] |
Generators of the group modulo torsion |
j |
467720676/180625 |
j-invariant |
L |
6.8673377038635 |
L(r)(E,1)/r! |
Ω |
0.45416501851239 |
Real period |
R |
3.7801995907407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051587 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
680a2 |
Quadratic twists by: 13 |