Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400dd |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-12909093120000 = -1 · 211 · 35 · 54 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -5 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1408,173588] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:252:1] [-52:330:1] |
Generators of the group modulo torsion |
j |
-241340450/10085229 |
j-invariant |
L |
13.372741701609 |
L(r)(E,1)/r! |
Ω |
0.58969575763497 |
Real period |
R |
0.062992660614401 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46200cf1 92400e1 |
Quadratic twists by: -4 5 |