Atkin-Lehner |
2- 7- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
118286k |
Isogeny class |
Conductor |
118286 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-28152068 = -1 · 22 · 73 · 172 · 71 |
Discriminant |
Eigenvalues |
2- 1 -2 7- -3 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,76,20] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-38:1] |
Generators of the group modulo torsion |
j |
141420761/82076 |
j-invariant |
L |
8.9858431095916 |
L(r)(E,1)/r! |
Ω |
1.264606193681 |
Real period |
R |
0.88820566543603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118286w1 |
Quadratic twists by: -7 |