Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109368o |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
39221195686815744 = 211 · 37 · 710 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1757091,896427070] |
[a1,a2,a3,a4,a6] |
Generators |
[8338:112365:8] |
Generators of the group modulo torsion |
j |
3415550840354/223293 |
j-invariant |
L |
4.6106513091938 |
L(r)(E,1)/r! |
Ω |
0.34525419516274 |
Real period |
R |
6.6771835690805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067236 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456z4 15624j3 |
Quadratic twists by: -3 -7 |