Atkin-Lehner |
3+ 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
121605c |
Isogeny class |
Conductor |
121605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
9694380393225 = 33 · 52 · 118 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 11- 0 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-113561,14681558] |
[a1,a2,a3,a4,a6] |
j |
91422999252649/5472225 |
j-invariant |
L |
1.3767942804882 |
L(r)(E,1)/r! |
Ω |
0.68839790837339 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11055a1 |
Quadratic twists by: -11 |