Atkin-Lehner |
2+ 3+ 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
9546c |
Isogeny class |
Conductor |
9546 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
219936 |
Modular degree for the optimal curve |
Δ |
-9.3904200133275E+18 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -3 -1 1 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,216949,-142121901] |
[a1,a2,a3,a4,a6] |
j |
1129258952402711594183/9390420013327481358 |
j-invariant |
L |
0.22848390683026 |
L(r)(E,1)/r! |
Ω |
0.11424195341513 |
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 |
76368p1 28638p1 |
Quadratic twists by: -4 -3 |