Atkin-Lehner |
2- 3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
4602b |
Isogeny class |
Conductor |
4602 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
14112 |
Modular degree for the optimal curve |
Δ |
-4644626448384 = -1 · 214 · 37 · 133 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 3 0 -5 13+ 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12084,-526731] |
[a1,a2,a3,a4,a6] |
j |
-195145305494895937/4644626448384 |
j-invariant |
L |
3.1829782508319 |
L(r)(E,1)/r! |
Ω |
0.22735558934514 |
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 |
36816r1 13806d1 115050y1 59826e1 |
Quadratic twists by: -4 -3 5 13 |