Atkin-Lehner |
3+ 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
52275b |
Isogeny class |
Conductor |
52275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-51353055197015625 = -1 · 34 · 56 · 176 · 412 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 0 6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-94113,-15607344] |
[a1,a2,a3,a4,a6] |
j |
-5900011075468873/3286595532609 |
j-invariant |
L |
1.0628140926083 |
L(r)(E,1)/r! |
Ω |
0.13285176119321 |
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 |
2091b2 |
Quadratic twists by: 5 |