Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10406h |
Isogeny class |
Conductor |
10406 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-405567002852 = -1 · 22 · 119 · 43 |
Discriminant |
Eigenvalues |
2- 1 0 4 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1752,12068] |
[a1,a2,a3,a4,a6] |
Generators |
[542:5053:8] |
Generators of the group modulo torsion |
j |
335702375/228932 |
j-invariant |
L |
8.3290620669856 |
L(r)(E,1)/r! |
Ω |
0.59673579711304 |
Real period |
R |
1.744713093148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83248bk1 93654k1 946b1 |
Quadratic twists by: -4 -3 -11 |