Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200gs |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-788480000 = -1 · 214 · 54 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 11+ -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1233,-17137] |
[a1,a2,a3,a4,a6] |
Generators |
[7717:677948:1] |
Generators of the group modulo torsion |
j |
-20261200/77 |
j-invariant |
L |
6.6534610480859 |
L(r)(E,1)/r! |
Ω |
0.40271763737605 |
Real period |
R |
8.2607022851365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050217 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200dr1 30800cn1 123200fi1 |
Quadratic twists by: -4 8 5 |