Atkin-Lehner |
2- 3- 5- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120870bf |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1101427875000 = 23 · 38 · 56 · 17 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-515642,142647041] |
[a1,a2,a3,a4,a6] |
Generators |
[-429:17089:1] [411:-71:1] |
Generators of the group modulo torsion |
j |
20798894252848954969/1510875000 |
j-invariant |
L |
17.393463448161 |
L(r)(E,1)/r! |
Ω |
0.66196561097174 |
Real period |
R |
1.4597488282395 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40290p2 |
Quadratic twists by: -3 |