Atkin-Lehner |
2+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
71104c |
Isogeny class |
Conductor |
71104 |
Conductor |
∏ cp |
2 |
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 |
[3967155:94397327:91125] |
Generators of the group modulo torsion |
j |
-72925658468057088/198788631371 |
j-invariant |
L |
14.429196093457 |
L(r)(E,1)/r! |
Ω |
0.71271129299589 |
Real period |
R |
10.122749726449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000717 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71104q1 1111b1 |
Quadratic twists by: -4 8 |