Atkin-Lehner |
2- 3- 7+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
70434bc |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-1.03030896532E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 2 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-544514,-512128767] |
[a1,a2,a3,a4,a6] |
Generators |
[1329:32655:1] |
Generators of the group modulo torsion |
j |
-24491906184730637017/141331819659803136 |
j-invariant |
L |
11.537000806232 |
L(r)(E,1)/r! |
Ω |
0.078765859107576 |
Real period |
R |
4.0686694499776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989178 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23478c2 |
Quadratic twists by: -3 |