Atkin-Lehner |
3- 5- 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
128775g |
Isogeny class |
Conductor |
128775 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
640000 |
Modular degree for the optimal curve |
Δ |
-814904296875 = -1 · 35 · 59 · 17 · 101 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 -6 -4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-184513,30490892] |
[a1,a2,a3,a4,a6] |
Generators |
[227:449:1] |
Generators of the group modulo torsion |
j |
-355692518540477/417231 |
j-invariant |
L |
3.7434178806161 |
L(r)(E,1)/r! |
Ω |
0.75390047944252 |
Real period |
R |
0.49654004966313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000175192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128775c1 |
Quadratic twists by: 5 |