Atkin-Lehner |
2- 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
80300f |
Isogeny class |
Conductor |
80300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
127008 |
Modular degree for the optimal curve |
Δ |
-234476000000 = -1 · 28 · 56 · 11 · 732 |
Discriminant |
Eigenvalues |
2- 3 5+ 4 11- 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-400,-23500] |
[a1,a2,a3,a4,a6] |
j |
-1769472/58619 |
j-invariant |
L |
7.7682813664224 |
L(r)(E,1)/r! |
Ω |
0.43157118840082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3212b1 |
Quadratic twists by: 5 |