Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
7220b |
Isogeny class |
Conductor |
7220 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
1358685043280 = 24 · 5 · 198 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -4 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2888,20577] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1083:1] |
Generators of the group modulo torsion |
j |
3538944/1805 |
j-invariant |
L |
3.369418555228 |
L(r)(E,1)/r! |
Ω |
0.75562766562057 |
Real period |
R |
1.4863663276369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28880t1 115520x1 64980bo1 36100e1 |
Quadratic twists by: -4 8 -3 5 |