Atkin-Lehner |
2+ 7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
57134k |
Isogeny class |
Conductor |
57134 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
6399008 = 25 · 73 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11+ 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-696491,223670262] |
[a1,a2,a3,a4,a6] |
Generators |
[482:-251:1] |
Generators of the group modulo torsion |
j |
108936952652215525375/18656 |
j-invariant |
L |
2.66404406752 |
L(r)(E,1)/r! |
Ω |
0.95485608501204 |
Real period |
R |
1.3949976908561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000000205 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57134j2 |
Quadratic twists by: -7 |