Atkin-Lehner |
2- 3- 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
34860j |
Isogeny class |
Conductor |
34860 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
2615541970280400 = 24 · 39 · 52 · 7 · 834 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34445,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:6723:8] |
Generators of the group modulo torsion |
j |
282484683468046336/163471373142525 |
j-invariant |
L |
6.2647627266159 |
L(r)(E,1)/r! |
Ω |
0.38517448357268 |
Real period |
R |
0.90359665176312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104580k1 |
Quadratic twists by: -3 |