Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33327f |
Isogeny class |
Conductor |
33327 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
38556772821 = 39 · 7 · 234 |
Discriminant |
Eigenvalues |
-1 3+ -1 7- -2 0 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-893,4240] |
[a1,a2,a3,a4,a6] |
Generators |
[52:-337:1] |
Generators of the group modulo torsion |
j |
14283/7 |
j-invariant |
L |
2.3817643362982 |
L(r)(E,1)/r! |
Ω |
1.0229946539323 |
Real period |
R |
0.38803792492023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33327e1 33327b1 |
Quadratic twists by: -3 -23 |