Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608ce |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.6679062761961E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-352322220,2545395773744] |
[a1,a2,a3,a4,a6] |
Generators |
[144076611174972190:4870102087561641984:10889381342125] |
Generators of the group modulo torsion |
j |
25309080274342544331625/191933498523648 |
j-invariant |
L |
7.9828710751233 |
L(r)(E,1)/r! |
Ω |
0.1036962805511 |
Real period |
R |
19.245798958495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608ef5 2394n5 25536m5 |
Quadratic twists by: -4 8 -3 |