Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
121380bc |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
793152 |
Modular degree for the optimal curve |
Δ |
-14238916088569200 = -1 · 24 · 36 · 52 · 7 · 178 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,60594,54225] |
[a1,a2,a3,a4,a6] |
Generators |
[12:885:1] |
Generators of the group modulo torsion |
j |
220441856/127575 |
j-invariant |
L |
9.5026815570151 |
L(r)(E,1)/r! |
Ω |
0.23653137538926 |
Real period |
R |
3.3479284954002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999751149 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
121380l1 |
Quadratic twists by: 17 |