Atkin-Lehner |
2+ 3+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
59826d |
Isogeny class |
Conductor |
59826 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
715008 |
Modular degree for the optimal curve |
Δ |
-214435575467315124 = -1 · 22 · 3 · 1313 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 3 0 -3 13+ -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,39374,22092088] |
[a1,a2,a3,a4,a6] |
j |
1398540265487/44425950036 |
j-invariant |
L |
1.9040349929085 |
L(r)(E,1)/r! |
Ω |
0.23800437470519 |
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 |
4602c1 |
Quadratic twists by: 13 |