Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5220f |
Isogeny class |
Conductor |
5220 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-313200 = -1 · 24 · 33 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -1 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2757,-55719] |
[a1,a2,a3,a4,a6] |
Generators |
[72:345:1] |
Generators of the group modulo torsion |
j |
-5364759575808/725 |
j-invariant |
L |
4.3142289140391 |
L(r)(E,1)/r! |
Ω |
0.32942788952083 |
Real period |
R |
3.2740313216303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20880bo1 83520i1 5220c1 26100e1 |
Quadratic twists by: -4 8 -3 5 |