Atkin-Lehner |
2- 3+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240bi |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-39016933804800 = -1 · 28 · 310 · 52 · 74 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7779,-146079] |
[a1,a2,a3,a4,a6] |
Generators |
[41:490:1] [96:1215:1] |
Generators of the group modulo torsion |
j |
203328956112896/152409897675 |
j-invariant |
L |
8.072027191681 |
L(r)(E,1)/r! |
Ω |
0.36201257148239 |
Real period |
R |
1.3936027067042 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18060l1 |
Quadratic twists by: -4 |