Atkin-Lehner |
3+ 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59241d |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
140839587226611 = 34 · 77 · 133 · 312 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3862302574,-92390032269275] |
[a1,a2,a3,a4,a6] |
j |
54159463405004131864095149017/1197116739 |
j-invariant |
L |
1.9150846794932 |
L(r)(E,1)/r! |
Ω |
0.019150846764312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8463i3 |
Quadratic twists by: -7 |