Atkin-Lehner |
2+ 3- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34224l |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
-50925312 = -1 · 28 · 32 · 23 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -4 -2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28,348] |
[a1,a2,a3,a4,a6] |
Generators |
[19:90:1] |
Generators of the group modulo torsion |
j |
9148592/198927 |
j-invariant |
L |
7.9646946493804 |
L(r)(E,1)/r! |
Ω |
1.4978422779335 |
Real period |
R |
2.6587227396095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17112j1 102672p1 |
Quadratic twists by: -4 -3 |