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 |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-1650180096 = -1 · 214 · 32 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -6 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,271,849] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:24:1] [5:48:1] |
Generators of the group modulo torsion |
j |
133846832/100719 |
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 |
113088i1 28272c1 |
Quadratic twists by: -4 8 |