Atkin-Lehner |
2- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
28880be |
Isogeny class |
Conductor |
28880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-2743600 = -1 · 24 · 52 · 193 |
Discriminant |
Eigenvalues |
2- -2 5- 0 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25,-102] |
[a1,a2,a3,a4,a6] |
Generators |
[298:1825:8] |
Generators of the group modulo torsion |
j |
-16384/25 |
j-invariant |
L |
4.333493655785 |
L(r)(E,1)/r! |
Ω |
1.0094881328352 |
Real period |
R |
4.2927633469195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7220f1 115520bp1 28880bd1 |
Quadratic twists by: -4 8 -19 |