Atkin-Lehner |
2- 3+ 11- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
104346bh |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
63840721793904 = 24 · 39 · 113 · 173 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 11- -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10532,161623] |
[a1,a2,a3,a4,a6] |
Generators |
[7:293:1] |
Generators of the group modulo torsion |
j |
6563361299067/3243444688 |
j-invariant |
L |
11.589496489812 |
L(r)(E,1)/r! |
Ω |
0.55094137720347 |
Real period |
R |
0.87649195724616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104346g1 |
Quadratic twists by: -3 |