Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120ft |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-112907520 = -1 · 28 · 36 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33,506] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:332:27] |
Generators of the group modulo torsion |
j |
176/5 |
j-invariant |
L |
6.6759906900354 |
L(r)(E,1)/r! |
Ω |
1.409013727926 |
Real period |
R |
4.7380593678796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21780t1 9680q1 87120fo1 |
Quadratic twists by: -4 -3 -11 |