Atkin-Lehner |
3+ 7+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
39627a |
Isogeny class |
Conductor |
39627 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
-30790179 = -1 · 33 · 72 · 17 · 372 |
Discriminant |
Eigenvalues |
0 3+ -1 7+ -3 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-258,1617] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:55:1] [18:255:8] |
Generators of the group modulo torsion |
j |
-70342705152/1140377 |
j-invariant |
L |
6.8230404236471 |
L(r)(E,1)/r! |
Ω |
2.0913807125679 |
Real period |
R |
0.40780717151623 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39627b1 |
Quadratic twists by: -3 |