Atkin-Lehner |
2+ 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408bo |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
3069387150336 = 210 · 33 · 136 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -4 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3757,26195] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1560:1] |
Generators of the group modulo torsion |
j |
5728790382592/2997448389 |
j-invariant |
L |
9.8011279943079 |
L(r)(E,1)/r! |
Ω |
0.70285393591239 |
Real period |
R |
1.5494175474413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408cr1 7176a1 |
Quadratic twists by: -4 8 |