Atkin-Lehner |
2- 3+ 5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710o |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
35536400481514950 = 2 · 316 · 52 · 234 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-88041,4303809] |
[a1,a2,a3,a4,a6] |
Generators |
[-240612:6558959:1728] |
Generators of the group modulo torsion |
j |
75470794294115528209/35536400481514950 |
j-invariant |
L |
5.0954678688229 |
L(r)(E,1)/r! |
Ω |
0.32744736651221 |
Real period |
R |
7.7805906993464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122130bc3 |
Quadratic twists by: -3 |