Atkin-Lehner |
2+ 3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
56232g |
Isogeny class |
Conductor |
56232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
1551981606912 = 211 · 36 · 114 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 11- 7 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3315,42478] |
[a1,a2,a3,a4,a6] |
j |
2698465250/1039511 |
j-invariant |
L |
3.0856897349309 |
L(r)(E,1)/r! |
Ω |
0.77142243390293 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112464a1 6248c1 |
Quadratic twists by: -4 -3 |