Atkin-Lehner |
2- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
77740h |
Isogeny class |
Conductor |
77740 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-142101256960 = -1 · 28 · 5 · 136 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 1 -6 13+ 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1352,-26364] |
[a1,a2,a3,a4,a6] |
Generators |
[416:8450:1] |
Generators of the group modulo torsion |
j |
-221184/115 |
j-invariant |
L |
5.9813785098181 |
L(r)(E,1)/r! |
Ω |
0.38426020077463 |
Real period |
R |
2.5943264911394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994265 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
460a1 |
Quadratic twists by: 13 |