Atkin-Lehner |
2- 5- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109040q |
Isogeny class |
Conductor |
109040 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-89325568000 = -1 · 219 · 53 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 0 5- 4 -6 -4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-827,-17046] |
[a1,a2,a3,a4,a6] |
Generators |
[38:80:1] [45:192:1] |
Generators of the group modulo torsion |
j |
-15271450641/21808000 |
j-invariant |
L |
12.550515969861 |
L(r)(E,1)/r! |
Ω |
0.42326192879894 |
Real period |
R |
2.4709907969698 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13630k1 |
Quadratic twists by: -4 |