Atkin-Lehner |
3- 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
121605j |
Isogeny class |
Conductor |
121605 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-261748270617075 = -1 · 36 · 52 · 118 · 67 |
Discriminant |
Eigenvalues |
2 3- 5+ 4 11- 6 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-51586,-4593605] |
[a1,a2,a3,a4,a6] |
Generators |
[4282:88151:8] |
Generators of the group modulo torsion |
j |
-8569817657344/147750075 |
j-invariant |
L |
20.645713791342 |
L(r)(E,1)/r! |
Ω |
0.15823096045897 |
Real period |
R |
5.4365977191522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999524403 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11055e1 |
Quadratic twists by: -11 |