Atkin-Lehner |
2- 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31350cd |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
544 |
Product of Tamagawa factors cp |
deg |
3133440 |
Modular degree for the optimal curve |
Δ |
-1.0025327426273E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-36026938,-83374068508] |
[a1,a2,a3,a4,a6] |
j |
-330967800143807423238361/641620955281489920 |
j-invariant |
L |
4.1898760490303 |
L(r)(E,1)/r! |
Ω |
0.030807912125225 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94050p1 6270e1 |
Quadratic twists by: -3 5 |