Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150o |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-138394267648000000 = -1 · 218 · 56 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-720450,-236351500] |
[a1,a2,a3,a4,a6] |
j |
-548347731625/1835008 |
j-invariant |
L |
1.4745313405107 |
L(r)(E,1)/r! |
Ω |
0.08191840788374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2366j5 350d5 |
Quadratic twists by: 5 13 |