Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680bn |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
237867078243600 = 24 · 36 · 52 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 1 13+ -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-639327,196756729] |
[a1,a2,a3,a4,a6] |
Generators |
[0:14027:1] |
Generators of the group modulo torsion |
j |
3037375744/25 |
j-invariant |
L |
8.9954097503786 |
L(r)(E,1)/r! |
Ω |
0.50021993302331 |
Real period |
R |
2.9971515793764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999739873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60840bz1 13520b1 121680w1 |
Quadratic twists by: -4 -3 13 |