Atkin-Lehner |
2- 3- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
124080bt |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-137176991424000000 = -1 · 212 · 36 · 56 · 113 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,60704,16884404] |
[a1,a2,a3,a4,a6] |
Generators |
[194:6000:1] |
Generators of the group modulo torsion |
j |
6039605020633631/33490476421875 |
j-invariant |
L |
8.3840777668857 |
L(r)(E,1)/r! |
Ω |
0.23649799303113 |
Real period |
R |
1.4771227758752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047667 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7755d2 |
Quadratic twists by: -4 |