Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114444u |
Isogeny class |
Conductor |
114444 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8460288 |
Modular degree for the optimal curve |
Δ |
-7.6103846267683E+21 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6838896,8062449172] |
[a1,a2,a3,a4,a6] |
Generators |
[13185118595:3709786905783:166375] |
Generators of the group modulo torsion |
j |
-27172077568/5845851 |
j-invariant |
L |
7.5210009433535 |
L(r)(E,1)/r! |
Ω |
0.12612308211331 |
Real period |
R |
14.908058099541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38148k1 114444j1 |
Quadratic twists by: -3 17 |