Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312cb |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
606086928269312 = 220 · 76 · 173 |
Discriminant |
Eigenvalues |
2- 2 0 7- 6 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-323073,-70562911] |
[a1,a2,a3,a4,a6] |
j |
120920208625/19652 |
j-invariant |
L |
4.8060662544581 |
L(r)(E,1)/r! |
Ω |
0.20025276063512 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53312ba3 13328w3 1088i3 |
Quadratic twists by: -4 8 -7 |