Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200gu |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-31539200000000 = -1 · 220 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 11+ 2 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7167,133537] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1600:1] |
Generators of the group modulo torsion |
j |
397535/308 |
j-invariant |
L |
3.0289852941068 |
L(r)(E,1)/r! |
Ω |
0.42271087829216 |
Real period |
R |
0.59713493973406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000251238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200dp1 30800cl1 123200fh1 |
Quadratic twists by: -4 8 5 |