Atkin-Lehner |
3- 11+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70587g |
Isogeny class |
Conductor |
70587 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
32690343697209 = 312 · 112 · 232 · 312 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23666,1379936] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:1408:1] |
Generators of the group modulo torsion |
j |
2010729085860313/44842721121 |
j-invariant |
L |
2.0400573306838 |
L(r)(E,1)/r! |
Ω |
0.65602462960471 |
Real period |
R |
1.5548633677987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000388 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23529f2 |
Quadratic twists by: -3 |