Atkin-Lehner |
3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
32079c |
Isogeny class |
Conductor |
32079 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5679360 |
Modular degree for the optimal curve |
Δ |
-6.0590273591415E+24 |
Discriminant |
Eigenvalues |
0 3+ 1 2 1 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-216816855,-1234439767141] |
[a1,a2,a3,a4,a6] |
j |
-46699185669641238052864/251020612686449979 |
j-invariant |
L |
1.9665577567599 |
L(r)(E,1)/r! |
Ω |
0.019665577567611 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96237k1 1887b1 |
Quadratic twists by: -3 17 |