Atkin-Lehner |
3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50715c |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11612160 |
Modular degree for the optimal curve |
Δ |
-1.4491088577264E+24 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 1 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-67691883,222050866574] |
[a1,a2,a3,a4,a6] |
j |
-10798949077834033410048/456193409500390625 |
j-invariant |
L |
0.67536532463073 |
L(r)(E,1)/r! |
Ω |
0.084420665580654 |
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 |
50715h1 7245g1 |
Quadratic twists by: -3 -7 |