Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5520t |
Isogeny class |
Conductor |
5520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-33281802240 = -1 · 222 · 3 · 5 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3920,96192] |
[a1,a2,a3,a4,a6] |
j |
-1626794704081/8125440 |
j-invariant |
L |
2.3444137349103 |
L(r)(E,1)/r! |
Ω |
1.1722068674551 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
690j1 22080cq1 16560bh1 27600cg1 |
Quadratic twists by: -4 8 -3 5 |