Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47880bi |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-6031501056000 = -1 · 211 · 311 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3957,69158] |
[a1,a2,a3,a4,a6] |
Generators |
[106:1296:1] |
Generators of the group modulo torsion |
j |
4589489518/4039875 |
j-invariant |
L |
4.9853260168631 |
L(r)(E,1)/r! |
Ω |
0.49215454645609 |
Real period |
R |
2.5323986402039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95760t1 15960b1 |
Quadratic twists by: -4 -3 |