Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7920k |
Isogeny class |
Conductor |
7920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-32076000000 = -1 · 28 · 36 · 56 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,153,-8586] |
[a1,a2,a3,a4,a6] |
Generators |
[33:180:1] |
Generators of the group modulo torsion |
j |
2122416/171875 |
j-invariant |
L |
4.8589823355573 |
L(r)(E,1)/r! |
Ω |
0.55645423500237 |
Real period |
R |
0.72767025419091 |
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 |
3960s2 31680ct2 880b2 39600j2 |
Quadratic twists by: -4 8 -3 5 |