Atkin-Lehner |
2- 11+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
70928g |
Isogeny class |
Conductor |
70928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-57123708928 = -1 · 213 · 113 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 2 -2 3 11+ 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5864,-171280] |
[a1,a2,a3,a4,a6] |
Generators |
[121:936:1] |
Generators of the group modulo torsion |
j |
-5445273626857/13946218 |
j-invariant |
L |
8.3411761227089 |
L(r)(E,1)/r! |
Ω |
0.27273964261731 |
Real period |
R |
3.822865665159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8866f1 |
Quadratic twists by: -4 |