Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712bv |
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 |
[-10:2376:1] |
Generators of the group modulo torsion |
j |
2273930875000/2064884481 |
j-invariant |
L |
7.2220335434988 |
L(r)(E,1)/r! |
Ω |
0.23302325899218 |
Real period |
R |
1.9370473982037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999976005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712u2 53856e2 35904be2 |
Quadratic twists by: -4 8 -3 |