Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786j |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4308480 |
Modular degree for the optimal curve |
Δ |
-9.7275505214493E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 -6 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18945,-474529523] |
[a1,a2,a3,a4,a6] |
Generators |
[14745365240547:732757470510718:5706550403] |
Generators of the group modulo torsion |
j |
6967871/901382144 |
j-invariant |
L |
3.4686804512377 |
L(r)(E,1)/r! |
Ω |
0.087238018244598 |
Real period |
R |
19.880555066669 |
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 |
13754f1 5382c1 |
Quadratic twists by: -3 -23 |