Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712u |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-49325696176914432 = -1 · 215 · 316 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,78900,-6435376] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1496:1] [208:4356:1] |
Generators of the group modulo torsion |
j |
2273930875000/2064884481 |
j-invariant |
L |
10.73348495015 |
L(r)(E,1)/r! |
Ω |
0.19571340945615 |
Real period |
R |
3.4276793367591 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999979858 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712bv2 53856x2 35904t2 |
Quadratic twists by: -4 8 -3 |