Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200gs |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-4674897920000 = -1 · 214 · 54 · 73 · 113 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 11+ -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2767,-86737] |
[a1,a2,a3,a4,a6] |
Generators |
[53:460:1] |
Generators of the group modulo torsion |
j |
228714800/456533 |
j-invariant |
L |
6.6534610480859 |
L(r)(E,1)/r! |
Ω |
0.40271763737605 |
Real period |
R |
2.7535674283788 |
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 |
123200dr2 30800cn2 123200fi2 |
Quadratic twists by: -4 8 5 |