Atkin-Lehner |
2+ 3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394w |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
12441600 |
Modular degree for the optimal curve |
Δ |
-3.0750572847084E+23 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 11- 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,16855660,1534247570] |
[a1,a2,a3,a4,a6] |
Generators |
[417:92719:1] |
Generators of the group modulo torsion |
j |
298954383299125345007/173578967063986176 |
j-invariant |
L |
3.764611131006 |
L(r)(E,1)/r! |
Ω |
0.05829781478874 |
Real period |
R |
1.3453231257894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7854r1 |
Quadratic twists by: -11 |