Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
108576u |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-1043380398528 = -1 · 26 · 39 · 134 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2781,-74844] |
[a1,a2,a3,a4,a6] |
Generators |
[17120:181718:125] |
Generators of the group modulo torsion |
j |
-1888232256/828269 |
j-invariant |
L |
5.3752752668773 |
L(r)(E,1)/r! |
Ω |
0.32185963617563 |
Real period |
R |
8.3503407558562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999844333 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108576c1 108576a1 |
Quadratic twists by: -4 -3 |