Atkin-Lehner |
2+ 3- 5+ 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120870f |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-198002465280 = -1 · 29 · 36 · 5 · 17 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4005,100885] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:448:1] |
Generators of the group modulo torsion |
j |
-9746860268881/271608320 |
j-invariant |
L |
4.4085958813659 |
L(r)(E,1)/r! |
Ω |
1.002050862618 |
Real period |
R |
2.1997864712419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043549 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13430f1 |
Quadratic twists by: -3 |