Atkin-Lehner |
7+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
6307c |
Isogeny class |
Conductor |
6307 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28320 |
Modular degree for the optimal curve |
Δ |
44149 = 72 · 17 · 53 |
Discriminant |
Eigenvalues |
-2 1 -3 7+ -2 3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-341272,-76849860] |
[a1,a2,a3,a4,a6] |
j |
4395688995422533685248/44149 |
j-invariant |
L |
0.39505201371891 |
L(r)(E,1)/r! |
Ω |
0.19752600685946 |
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 |
100912y1 56763l1 44149m1 107219m1 |
Quadratic twists by: -4 -3 -7 17 |