Atkin-Lehner |
2- 3+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113088bb |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
96926367744 = 216 · 34 · 19 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -6 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1249,8449] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:155:1] [-11:144:1] |
Generators of the group modulo torsion |
j |
3290627812/1478979 |
j-invariant |
L |
6.1719998652277 |
L(r)(E,1)/r! |
Ω |
0.95767082007967 |
Real period |
R |
1.6112007734023 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113088i2 28272c2 |
Quadratic twists by: -4 8 |