Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
57288t |
Isogeny class |
Conductor |
57288 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
462336 |
Modular degree for the optimal curve |
Δ |
6301424061047808 = 210 · 314 · 73 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-423032,-105975168] |
[a1,a2,a3,a4,a6] |
Generators |
[2224:99792:1] |
Generators of the group modulo torsion |
j |
8176067039487902692/6153734434617 |
j-invariant |
L |
9.3437591955581 |
L(r)(E,1)/r! |
Ω |
0.1872085957715 |
Real period |
R |
1.1883559946736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114576e1 |
Quadratic twists by: -4 |