Atkin-Lehner |
2+ 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712t |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
7.6345423913259E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 11- 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-769777452,8220455573040] |
[a1,a2,a3,a4,a6] |
Generators |
[16317:65637:1] |
Generators of the group modulo torsion |
j |
9776604686860471347243/147962546281 |
j-invariant |
L |
4.3867769049266 |
L(r)(E,1)/r! |
Ω |
0.11365087792532 |
Real period |
R |
1.6082794602254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999143645 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712cy2 1683b2 107712d2 |
Quadratic twists by: -4 8 -3 |