Atkin-Lehner |
2+ 3- 5- 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
120870p |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-302127785156250 = -1 · 2 · 36 · 59 · 17 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-774,836518] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-1016:1] |
Generators of the group modulo torsion |
j |
-70393838689/414441406250 |
j-invariant |
L |
3.0060966850336 |
L(r)(E,1)/r! |
Ω |
0.43725190654956 |
Real period |
R |
0.38194315083071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029728 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13430e1 |
Quadratic twists by: -3 |