Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5520s |
Isogeny class |
Conductor |
5520 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-37260000000 = -1 · 28 · 34 · 57 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 2 -2 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-845,-12975] |
[a1,a2,a3,a4,a6] |
Generators |
[65:450:1] |
Generators of the group modulo torsion |
j |
-260956266496/145546875 |
j-invariant |
L |
3.9219206323184 |
L(r)(E,1)/r! |
Ω |
0.43153084222501 |
Real period |
R |
0.32458536054842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1380e1 22080cn1 16560bq1 27600da1 |
Quadratic twists by: -4 8 -3 5 |