Atkin-Lehner |
2+ 3+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
67938d |
Isogeny class |
Conductor |
67938 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-31591281486258 = -1 · 2 · 36 · 136 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4566,293454] |
[a1,a2,a3,a4,a6] |
j |
-2181825073/6544962 |
j-invariant |
L |
1.1586123442578 |
L(r)(E,1)/r! |
Ω |
0.57930617694003 |
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 |
402c2 |
Quadratic twists by: 13 |