Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496bh |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
4629974745088 = 233 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 11- 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4993,86239] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:85:1] |
Generators of the group modulo torsion |
j |
1071912625/360448 |
j-invariant |
L |
6.7573544297751 |
L(r)(E,1)/r! |
Ω |
0.71165102415383 |
Real period |
R |
4.7476601595631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34496co1 1078j1 34496g1 |
Quadratic twists by: -4 8 -7 |