Atkin-Lehner |
2+ 3+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53754a |
Isogeny class |
Conductor |
53754 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-5579020152 = -1 · 23 · 34 · 172 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 3 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-34745,-2507331] |
[a1,a2,a3,a4,a6] |
Generators |
[337972:24378563:64] |
Generators of the group modulo torsion |
j |
-16051748542629625/19304568 |
j-invariant |
L |
3.9740366006795 |
L(r)(E,1)/r! |
Ω |
0.17484161973577 |
Real period |
R |
11.364675660968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53754g2 |
Quadratic twists by: 17 |