Atkin-Lehner |
2- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
71104q |
Isogeny class |
Conductor |
71104 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-12722472407744 = -1 · 26 · 117 · 1012 |
Discriminant |
Eigenvalues |
2- -3 3 0 11- -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34816,-2506322] |
[a1,a2,a3,a4,a6] |
Generators |
[427:7777:1] |
Generators of the group modulo torsion |
j |
-72925658468057088/198788631371 |
j-invariant |
L |
4.6940374982414 |
L(r)(E,1)/r! |
Ω |
0.17472455056499 |
Real period |
R |
1.9189541007408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71104c1 17776f1 |
Quadratic twists by: -4 8 |