Atkin-Lehner |
2+ 3- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113088j |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
46156492652544 = 214 · 314 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 6 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9649,158831] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:540:1] |
Generators of the group modulo torsion |
j |
6064509776848/2817168741 |
j-invariant |
L |
6.8430553876775 |
L(r)(E,1)/r! |
Ω |
0.57069271215348 |
Real period |
R |
1.7129697385756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999504103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113088y2 14136c2 |
Quadratic twists by: -4 8 |