Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50700p |
Isogeny class |
Conductor |
50700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2822400 |
Modular degree for the optimal curve |
Δ |
-2.3551568288614E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -3 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10243653,-12829937823] |
[a1,a2,a3,a4,a6] |
Generators |
[12407:1330330:1] |
Generators of the group modulo torsion |
j |
-769623354048512/15247889631 |
j-invariant |
L |
3.9631428867317 |
L(r)(E,1)/r! |
Ω |
0.042144988298482 |
Real period |
R |
7.8363269409028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50700bm1 3900g1 |
Quadratic twists by: 5 13 |