Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110352ba |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-205392053512470528 = -1 · 215 · 34 · 118 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6736,21801408] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:4598:1] |
Generators of the group modulo torsion |
j |
4657463/28305288 |
j-invariant |
L |
3.0633199025391 |
L(r)(E,1)/r! |
Ω |
0.24944539922942 |
Real period |
R |
1.5350653423184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13794bn2 10032h2 |
Quadratic twists by: -4 -11 |