Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680cq |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
6289920 |
Modular degree for the optimal curve |
Δ |
-2.6306195917116E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 3 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10262187,14866171866] |
[a1,a2,a3,a4,a6] |
Generators |
[2197:54080:1] |
Generators of the group modulo torsion |
j |
-1817378667/400000 |
j-invariant |
L |
8.5697483052385 |
L(r)(E,1)/r! |
Ω |
0.11366405647358 |
Real period |
R |
0.62829509493993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15210bd1 121680ce1 121680cd1 |
Quadratic twists by: -4 -3 13 |