Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200gp |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-176619520000 = -1 · 219 · 54 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11+ -3 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5900,-175600] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1120:1] |
Generators of the group modulo torsion |
j |
-138630825/1078 |
j-invariant |
L |
5.6371174346217 |
L(r)(E,1)/r! |
Ω |
0.27224187078139 |
Real period |
R |
0.86276183112745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999218463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200dn1 30800cj1 123200ff1 |
Quadratic twists by: -4 8 5 |