Atkin-Lehner |
5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
120185f |
Isogeny class |
Conductor |
120185 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
8796480 |
Modular degree for the optimal curve |
Δ |
-5.3300671062387E+22 |
Discriminant |
Eigenvalues |
-1 1 5- -2 2 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-25439505,50618425052] |
[a1,a2,a3,a4,a6] |
Generators |
[-46498:393049:8] [-1781:301353:1] |
Generators of the group modulo torsion |
j |
-288030812484797929/8431831971875 |
j-invariant |
L |
9.1532545646346 |
L(r)(E,1)/r! |
Ω |
0.11172058133232 |
Real period |
R |
0.58521347604273 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2795b1 |
Quadratic twists by: -43 |