Atkin-Lehner |
2- 5- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
42160y |
Isogeny class |
Conductor |
42160 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-269824000 = -1 · 212 · 53 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 2 5- 1 3 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,80,-768] |
[a1,a2,a3,a4,a6] |
Generators |
[24:120:1] |
Generators of the group modulo torsion |
j |
13651919/65875 |
j-invariant |
L |
9.9406511465085 |
L(r)(E,1)/r! |
Ω |
0.87733220400766 |
Real period |
R |
0.94421200060625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2635d1 |
Quadratic twists by: -4 |