Atkin-Lehner |
2- 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640cl |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
1960400000000 = 210 · 58 · 132 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 2 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5701,-153285] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:104:1] [-34:49:1] |
Generators of the group modulo torsion |
j |
20014882963456/1914453125 |
j-invariant |
L |
8.4950060925339 |
L(r)(E,1)/r! |
Ω |
0.55279516050745 |
Real period |
R |
7.6836834855508 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001374 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640t1 30160y1 |
Quadratic twists by: -4 8 |