Atkin-Lehner |
3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33327h |
Isogeny class |
Conductor |
33327 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-170067681 = -1 · 38 · 72 · 232 |
Discriminant |
Eigenvalues |
1 3- -3 7+ -2 -1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-306,-2079] |
[a1,a2,a3,a4,a6] |
Generators |
[24:51:1] |
Generators of the group modulo torsion |
j |
-8231953/441 |
j-invariant |
L |
3.307125740896 |
L(r)(E,1)/r! |
Ω |
0.56888148874295 |
Real period |
R |
1.4533456468251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11109e1 33327n1 |
Quadratic twists by: -3 -23 |