Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
34914l |
Isogeny class |
Conductor |
34914 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
1.0179406268451E+20 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 11+ 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32749608,72132502390] |
[a1,a2,a3,a4,a6] |
Generators |
[320:248205:1] |
Generators of the group modulo torsion |
j |
26240674555395219529/687630974976 |
j-invariant |
L |
6.138268555455 |
L(r)(E,1)/r! |
Ω |
0.17534606984495 |
Real period |
R |
4.375824163669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104742ch1 1518i1 |
Quadratic twists by: -3 -23 |