Atkin-Lehner |
2+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38870m |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
5346000 |
Modular degree for the optimal curve |
Δ |
-4.562320483156E+20 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 -4 13+ -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-105208414,415386764820] |
[a1,a2,a3,a4,a6] |
j |
-762058709620329537263942289/2699597919027200000 |
j-invariant |
L |
0.72993613599936 |
L(r)(E,1)/r! |
Ω |
0.145987227206 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38870w1 |
Quadratic twists by: 13 |