Atkin-Lehner |
2+ 5- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050bf |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
1699780232500 = 22 · 54 · 73 · 172 · 193 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 1 -3 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9801,-368952] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:86:1] |
Generators of the group modulo torsion |
j |
166567843612825/2719648372 |
j-invariant |
L |
4.5156688955018 |
L(r)(E,1)/r! |
Ω |
0.48030509207297 |
Real period |
R |
2.3504169185867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050ca1 |
Quadratic twists by: 5 |