Atkin-Lehner |
3- 11+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70587g |
Isogeny class |
Conductor |
70587 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6121201055483349 = 39 · 114 · 23 · 314 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51611,-2476474] |
[a1,a2,a3,a4,a6] |
Generators |
[-167:1293:1] |
Generators of the group modulo torsion |
j |
20855236382399593/8396709266781 |
j-invariant |
L |
2.0400573306838 |
L(r)(E,1)/r! |
Ω |
0.32801231480236 |
Real period |
R |
3.1097267355975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000388 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23529f3 |
Quadratic twists by: -3 |