Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109368o |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3406526649288419328 = -1 · 211 · 37 · 77 · 314 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,253869,73902094] |
[a1,a2,a3,a4,a6] |
Generators |
[246:12298:1] |
Generators of the group modulo torsion |
j |
10301655166/19393941 |
j-invariant |
L |
4.6106513091938 |
L(r)(E,1)/r! |
Ω |
0.17262709758137 |
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 |
36456z3 15624j4 |
Quadratic twists by: -3 -7 |