Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66300k |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
589054781250000 = 24 · 38 · 59 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2992033,-1991040938] |
[a1,a2,a3,a4,a6] |
Generators |
[208612:9680229:64] |
Generators of the group modulo torsion |
j |
11849035104552239104/2356219125 |
j-invariant |
L |
3.5123396350335 |
L(r)(E,1)/r! |
Ω |
0.11479103005772 |
Real period |
R |
7.6494209367442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13260j1 |
Quadratic twists by: 5 |