Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
34272n |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
5946260544 = 26 · 38 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-741,6820] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:108:1] |
Generators of the group modulo torsion |
j |
964430272/127449 |
j-invariant |
L |
3.8367234462546 |
L(r)(E,1)/r! |
Ω |
1.2962623468377 |
Real period |
R |
1.4799178019844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34272bm1 68544bl2 11424r1 |
Quadratic twists by: -4 8 -3 |