Atkin-Lehner |
2+ 3+ 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670o |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.3132624474673E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-618797,582064029] |
[a1,a2,a3,a4,a6] |
Generators |
[26958:823441:27] |
Generators of the group modulo torsion |
j |
-222731256580724809/1116254662145280 |
j-invariant |
L |
4.0807329858276 |
L(r)(E,1)/r! |
Ω |
0.16038828753871 |
Real period |
R |
3.180354572766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999909152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810e2 |
Quadratic twists by: -7 |