Atkin-Lehner |
3- 5+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68265f |
Isogeny class |
Conductor |
68265 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3397220354025 = 310 · 52 · 372 · 412 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5310,120991] |
[a1,a2,a3,a4,a6] |
Generators |
[510:11141:1] |
Generators of the group modulo torsion |
j |
22715680520161/4660110225 |
j-invariant |
L |
6.6983591345289 |
L(r)(E,1)/r! |
Ω |
0.75071387765582 |
Real period |
R |
4.4613263011943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000618 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22755f2 |
Quadratic twists by: -3 |