Atkin-Lehner |
2+ 3- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270bh |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
5.4118679989886E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-945654,-2966648] |
[a1,a2,a3,a4,a6] |
j |
93523304529581769096409/54118679989886265600 |
j-invariant |
L |
2.015834159567 |
L(r)(E,1)/r! |
Ω |
0.16798617996764 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
117810el1 |
Quadratic twists by: -3 |