Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8450n |
Isogeny class |
Conductor |
8450 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
-5.3850973378516E+21 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 3 13+ 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3704005,4472395997] |
[a1,a2,a3,a4,a6] |
j |
-2609064081/2500000 |
j-invariant |
L |
2.4752871381002 |
L(r)(E,1)/r! |
Ω |
0.12376435690501 |
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 |
67600bh1 76050br1 1690b1 8450a1 |
Quadratic twists by: -4 -3 5 13 |