Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5520w |
Isogeny class |
Conductor |
5520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-77262336000 = -1 · 212 · 38 · 53 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 2 -6 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1605,-27603] |
[a1,a2,a3,a4,a6] |
j |
-111701610496/18862875 |
j-invariant |
L |
2.2420015373211 |
L(r)(E,1)/r! |
Ω |
0.37366692288685 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
345f1 22080cu1 16560bo1 27600cs1 |
Quadratic twists by: -4 8 -3 5 |