Atkin-Lehner |
2- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103400be |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-8272000000 = -1 · 210 · 56 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 11- 7 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,325,3750] |
[a1,a2,a3,a4,a6] |
j |
237276/517 |
j-invariant |
L |
3.6348194038381 |
L(r)(E,1)/r! |
Ω |
0.9087048461256 |
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 |
4136a1 |
Quadratic twists by: 5 |