Atkin-Lehner |
2- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3680f |
Isogeny class |
Conductor |
3680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-471040 = -1 · 212 · 5 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 5 2 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19,5] |
[a1,a2,a3,a4,a6] |
j |
175616/115 |
j-invariant |
L |
3.7006723592641 |
L(r)(E,1)/r! |
Ω |
1.8503361796321 |
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 |
3680i1 7360x1 33120u1 18400j1 |
Quadratic twists by: -4 8 -3 5 |