Atkin-Lehner |
3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6027c |
Isogeny class |
Conductor |
6027 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-1172136987 = -1 · 35 · 76 · 41 |
Discriminant |
Eigenvalues |
-2 3+ 4 7- -3 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-506,-4516] |
[a1,a2,a3,a4,a6] |
j |
-122023936/9963 |
j-invariant |
L |
1.0017630339023 |
L(r)(E,1)/r! |
Ω |
0.50088151695116 |
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 |
96432cr1 18081n1 123a1 |
Quadratic twists by: -4 -3 -7 |