Atkin-Lehner |
2- 3- 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
84048x |
Isogeny class |
Conductor |
84048 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1964160 |
Modular degree for the optimal curve |
Δ |
-1349922495744 = -1 · 28 · 311 · 172 · 103 |
Discriminant |
Eigenvalues |
2- 3- -1 2 2 -5 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20338396,35297160248] |
[a1,a2,a3,a4,a6] |
Generators |
[2603:36:1] |
Generators of the group modulo torsion |
j |
-3634409552474418115140304/5273134749 |
j-invariant |
L |
8.5636243184926 |
L(r)(E,1)/r! |
Ω |
0.38658255153586 |
Real period |
R |
1.0069146919853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21012a1 |
Quadratic twists by: -4 |