Atkin-Lehner |
2- 3+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608bz |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
68608 |
Modular degree for the optimal curve |
Δ |
23924736 = 212 · 32 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11+ -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-857,9945] |
[a1,a2,a3,a4,a6] |
j |
17014253248/5841 |
j-invariant |
L |
4.1802541370895 |
L(r)(E,1)/r! |
Ω |
2.090126974512 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608dn1 62304o1 |
Quadratic twists by: -4 8 |