Atkin-Lehner |
2- 3+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113088y |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
4 |
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 |
[152:1365:1] |
Generators of the group modulo torsion |
j |
6064509776848/2817168741 |
j-invariant |
L |
2.6713027404366 |
L(r)(E,1)/r! |
Ω |
0.50372132337856 |
Real period |
R |
5.3031361142468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959252 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113088j2 28272b2 |
Quadratic twists by: -4 8 |