Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71568bl |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
379912716288 = 220 · 36 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2259,-28782] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:10:1] |
Generators of the group modulo torsion |
j |
426957777/127232 |
j-invariant |
L |
5.260050772154 |
L(r)(E,1)/r! |
Ω |
0.70842166111088 |
Real period |
R |
3.7125140723144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000268 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8946k1 7952d1 |
Quadratic twists by: -4 -3 |