Atkin-Lehner |
2- 7- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
65758o |
Isogeny class |
Conductor |
65758 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
135212569564233854 = 2 · 79 · 112 · 614 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 11+ -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-416109,-101961259] |
[a1,a2,a3,a4,a6] |
Generators |
[1003634399433728362398:-9486545760766706413027:1286756117218218024] |
Generators of the group modulo torsion |
j |
197452549140391/3350693522 |
j-invariant |
L |
11.567465909023 |
L(r)(E,1)/r! |
Ω |
0.1881675752609 |
Real period |
R |
30.737139202205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65758r2 |
Quadratic twists by: -7 |