Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68952o |
Isogeny class |
Conductor |
68952 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
115702550406144 = 210 · 34 · 136 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12224,48816] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:714:1] |
Generators of the group modulo torsion |
j |
40873252/23409 |
j-invariant |
L |
7.0223347532836 |
L(r)(E,1)/r! |
Ω |
0.50580379439437 |
Real period |
R |
3.4708788418556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001294 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
408b2 |
Quadratic twists by: 13 |