Atkin-Lehner |
2+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
71104h |
Isogeny class |
Conductor |
71104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
56832 |
Modular degree for the optimal curve |
Δ |
-400457728 = -1 · 215 · 112 · 101 |
Discriminant |
Eigenvalues |
2+ -2 -4 -3 11- 0 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-705,7039] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:-88:1] [-17:120:1] |
Generators of the group modulo torsion |
j |
-1184287112/12221 |
j-invariant |
L |
4.5497613351151 |
L(r)(E,1)/r! |
Ω |
1.6929370910665 |
Real period |
R |
0.33593697597452 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71104b1 35552b1 |
Quadratic twists by: -4 8 |