Atkin-Lehner |
2+ 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480x |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
2112000 |
Modular degree for the optimal curve |
Δ |
-2.1460722421882E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 11- 13+ 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6839427,-6888190754] |
[a1,a2,a3,a4,a6] |
j |
-23698747132646144258/14374305034375 |
j-invariant |
L |
2.3338279388201 |
L(r)(E,1)/r! |
Ω |
0.046676558788615 |
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 |
102960bg1 5720d1 |
Quadratic twists by: -4 -3 |