Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
3120b |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-84190004570880 = -1 · 28 · 311 · 5 · 135 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 5 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9719,-245915] |
[a1,a2,a3,a4,a6] |
j |
396555344454656/328867205355 |
j-invariant |
L |
1.6787793370747 |
L(r)(E,1)/r! |
Ω |
0.33575586741493 |
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 |
1560d1 12480cx1 9360u1 15600n1 |
Quadratic twists by: -4 8 -3 5 |