Atkin-Lehner |
2- 3- 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
120780y |
Isogeny class |
Conductor |
120780 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
26258055120 = 24 · 36 · 5 · 112 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1632,24149] |
[a1,a2,a3,a4,a6] |
Generators |
[3202:63745:8] |
Generators of the group modulo torsion |
j |
41213231104/2251205 |
j-invariant |
L |
9.6964327133094 |
L(r)(E,1)/r! |
Ω |
1.1723011170595 |
Real period |
R |
4.1356408129537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024488 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13420e1 |
Quadratic twists by: -3 |