Atkin-Lehner |
2- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
69184d |
Isogeny class |
Conductor |
69184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4786425856 = 212 · 232 · 472 |
Discriminant |
Eigenvalues |
2- 0 2 4 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2884,59520] |
[a1,a2,a3,a4,a6] |
Generators |
[4638:315840:1] |
Generators of the group modulo torsion |
j |
647663663808/1168561 |
j-invariant |
L |
7.5100424008764 |
L(r)(E,1)/r! |
Ω |
1.3712956669726 |
Real period |
R |
5.4766033186765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000033 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69184e2 34592c1 |
Quadratic twists by: -4 8 |