Atkin-Lehner |
2- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
120400cb |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-1454718648320000 = -1 · 219 · 54 · 74 · 432 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -1 -2 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27992,-334412] |
[a1,a2,a3,a4,a6] |
Generators |
[174:-3136:1] [558:13760:1] |
Generators of the group modulo torsion |
j |
947479931975/568249472 |
j-invariant |
L |
13.470772063278 |
L(r)(E,1)/r! |
Ω |
0.27885103151578 |
Real period |
R |
1.0064193886229 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15050m1 120400bl1 |
Quadratic twists by: -4 5 |