Atkin-Lehner |
3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33327a |
Isogeny class |
Conductor |
33327 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
7829610619379661 = 33 · 7 · 2310 |
Discriminant |
Eigenvalues |
1 3+ -1 7+ -2 0 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52470,1823339] |
[a1,a2,a3,a4,a6] |
j |
14283/7 |
j-invariant |
L |
0.73892450469149 |
L(r)(E,1)/r! |
Ω |
0.36946225234746 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33327b1 33327e1 |
Quadratic twists by: -3 -23 |