Atkin-Lehner |
2+ 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150z |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
9331200 |
Modular degree for the optimal curve |
Δ |
3.11861860992E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -4 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-66119776,-206771358802] |
[a1,a2,a3,a4,a6] |
j |
2045963103559233496820209/1995915910348800000 |
j-invariant |
L |
1.5884128900545 |
L(r)(E,1)/r! |
Ω |
0.052947096338578 |
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 |
10230y1 |
Quadratic twists by: 5 |