Atkin-Lehner |
2+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
590b |
Isogeny class |
Conductor |
590 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60 |
Modular degree for the optimal curve |
Δ |
-75520 = -1 · 28 · 5 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1,13] |
[a1,a2,a3,a4,a6] |
j |
59319/75520 |
j-invariant |
L |
1.3474059559858 |
L(r)(E,1)/r! |
Ω |
2.6948119119716 |
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 |
4720e1 18880c1 5310n1 2950k1 |
Quadratic twists by: -4 8 -3 5 |