Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67518bh |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
959170677640362 = 2 · 38 · 119 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3961805,-3034211925] |
[a1,a2,a3,a4,a6] |
Generators |
[46650820:3295762851:8000] |
Generators of the group modulo torsion |
j |
4000748046875/558 |
j-invariant |
L |
11.295503526177 |
L(r)(E,1)/r! |
Ω |
0.10701047527611 |
Real period |
R |
13.194389960807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000002488 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22506a2 67518g2 |
Quadratic twists by: -3 -11 |