Atkin-Lehner |
2- 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
21240k |
Isogeny class |
Conductor |
21240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
204288 |
Modular degree for the optimal curve |
Δ |
-255948943140541440 = -1 · 210 · 325 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -2 -1 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-322923,74707702] |
[a1,a2,a3,a4,a6] |
j |
-4988766332702884/342867132765 |
j-invariant |
L |
1.2235208790165 |
L(r)(E,1)/r! |
Ω |
0.30588021975414 |
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 |
42480e1 7080g1 106200q1 |
Quadratic twists by: -4 -3 5 |