Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608cf |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
331245944832 = 218 · 3 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1889,15873] |
[a1,a2,a3,a4,a6] |
Generators |
[61:-352:1] |
Generators of the group modulo torsion |
j |
2845178713/1263603 |
j-invariant |
L |
3.5507845863871 |
L(r)(E,1)/r! |
Ω |
0.86558786817345 |
Real period |
R |
1.0255413627716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998273241 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608bo2 31152bc2 |
Quadratic twists by: -4 8 |