Atkin-Lehner |
2- 7+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
11242f |
Isogeny class |
Conductor |
11242 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
279360 |
Modular degree for the optimal curve |
Δ |
28067906436416 = 26 · 7 · 115 · 733 |
Discriminant |
Eigenvalues |
2- 0 -1 7+ 11+ 2 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18301078,30139014245] |
[a1,a2,a3,a4,a6] |
j |
677881381559128996008093489/28067906436416 |
j-invariant |
L |
2.1479249846624 |
L(r)(E,1)/r! |
Ω |
0.35798749744373 |
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 |
89936v1 101178q1 78694s1 123662s1 |
Quadratic twists by: -4 -3 -7 -11 |