Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608bo |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
8 |
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 |
[5802:441969:1] |
Generators of the group modulo torsion |
j |
2845178713/1263603 |
j-invariant |
L |
8.1980119613001 |
L(r)(E,1)/r! |
Ω |
0.7545754013654 |
Real period |
R |
5.4322019309721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608cf2 1947a2 |
Quadratic twists by: -4 8 |