Atkin-Lehner |
3- 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
94017p |
Isogeny class |
Conductor |
94017 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-8878752461403352143 = -1 · 36 · 73 · 1110 · 372 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 11- 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,449754,-84074069] |
[a1,a2,a3,a4,a6] |
Generators |
[2543:131040:1] |
Generators of the group modulo torsion |
j |
5679290619623375/5011824295863 |
j-invariant |
L |
8.0230503626103 |
L(r)(E,1)/r! |
Ω |
0.12729550483237 |
Real period |
R |
5.2522477596359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002244 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8547f1 |
Quadratic twists by: -11 |