Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
121680el |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-4483491367680 = -1 · 28 · 313 · 5 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -3 13- -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4368,150748] |
[a1,a2,a3,a4,a6] |
Generators |
[221:3159:1] [26:-234:1] |
Generators of the group modulo torsion |
j |
-22478848/10935 |
j-invariant |
L |
8.805594466215 |
L(r)(E,1)/r! |
Ω |
0.72275634269701 |
Real period |
R |
0.7614594597334 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999983553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30420p1 40560dc1 121680ft1 |
Quadratic twists by: -4 -3 13 |