Atkin-Lehner |
2+ 3+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
34122g |
Isogeny class |
Conductor |
34122 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-49722570049118208 = -1 · 213 · 3 · 117 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 11- 0 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-91962,15137940] |
[a1,a2,a3,a4,a6] |
Generators |
[83:-2885:1] |
Generators of the group modulo torsion |
j |
-48551226272641/28067094528 |
j-invariant |
L |
1.6698109014739 |
L(r)(E,1)/r! |
Ω |
0.33071193187255 |
Real period |
R |
0.84152336245138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102366bh1 3102i1 |
Quadratic twists by: -3 -11 |