Atkin-Lehner |
2+ 3+ 7- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29274l |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
78688512 = 28 · 32 · 72 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-126,-396] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:15:1] |
Generators of the group modulo torsion |
j |
223980311017/78688512 |
j-invariant |
L |
2.761401692848 |
L(r)(E,1)/r! |
Ω |
1.4646212514417 |
Real period |
R |
0.94270163365783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87822bo1 |
Quadratic twists by: -3 |