Atkin-Lehner |
2- 5+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040bf |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-676023040 = -1 · 28 · 5 · 7 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- -1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,219,-199] |
[a1,a2,a3,a4,a6] |
Generators |
[245:3834:1] |
Generators of the group modulo torsion |
j |
4516806656/2640715 |
j-invariant |
L |
9.1935906594805 |
L(r)(E,1)/r! |
Ω |
0.95077677556083 |
Real period |
R |
4.8347787039711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29260f1 |
Quadratic twists by: -4 |