Atkin-Lehner |
2- 5+ 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550bx |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-687681280000000 = -1 · 214 · 57 · 11 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 11- 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5588,-1274219] |
[a1,a2,a3,a4,a6] |
Generators |
[1061:33945:1] |
Generators of the group modulo torsion |
j |
-1235030650489/44011601920 |
j-invariant |
L |
16.795502526967 |
L(r)(E,1)/r! |
Ω |
0.22215945128824 |
Real period |
R |
2.7000398663165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013435 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24310f1 |
Quadratic twists by: 5 |