Atkin-Lehner |
2+ 3+ 5+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550f |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
4286550 = 2 · 3 · 52 · 17 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 3 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-110,390] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:26:1] |
Generators of the group modulo torsion |
j |
5971949905/171462 |
j-invariant |
L |
4.8402822458177 |
L(r)(E,1)/r! |
Ω |
2.4500445359627 |
Real period |
R |
0.98779474556916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104550cm1 |
Quadratic twists by: 5 |