Atkin-Lehner |
2- 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6030n |
Isogeny class |
Conductor |
6030 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-29647685120163840 = -1 · 226 · 39 · 5 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 6 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-61103,-10105289] |
[a1,a2,a3,a4,a6] |
j |
-1281779604287883/1506258452480 |
j-invariant |
L |
3.77672291479 |
L(r)(E,1)/r! |
Ω |
0.14525857364577 |
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 |
48240bd1 6030a1 30150j1 |
Quadratic twists by: -4 -3 5 |