Atkin-Lehner |
3+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53391g |
Isogeny class |
Conductor |
53391 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1780827083137947 = -1 · 3 · 132 · 378 |
Discriminant |
Eigenvalues |
1 3+ 2 -4 -2 13- 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8186,2013643] |
[a1,a2,a3,a4,a6] |
j |
23639903/694083 |
j-invariant |
L |
2.8342932617883 |
L(r)(E,1)/r! |
Ω |
0.35428665782112 |
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 |
1443c2 |
Quadratic twists by: 37 |