Atkin-Lehner |
2- 3+ 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346bk |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
390 |
Product of Tamagawa factors cp |
deg |
3369600 |
Modular degree for the optimal curve |
Δ |
-2.494762196917E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 11- 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1134970,-601029611] |
[a1,a2,a3,a4,a6] |
Generators |
[2977:169259:1] |
Generators of the group modulo torsion |
j |
8214590622512953125/12674705059782656 |
j-invariant |
L |
11.166145852747 |
L(r)(E,1)/r! |
Ω |
0.092657997061146 |
Real period |
R |
0.30899807992274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104346b1 |
Quadratic twists by: -3 |