Atkin-Lehner |
2- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
127088n |
Isogeny class |
Conductor |
127088 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
203904 |
Modular degree for the optimal curve |
Δ |
-2815147638784 = -1 · 221 · 134 · 47 |
Discriminant |
Eigenvalues |
2- 2 3 1 3 13+ -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1296,78272] |
[a1,a2,a3,a4,a6] |
Generators |
[104:1152:1] |
Generators of the group modulo torsion |
j |
2056223/24064 |
j-invariant |
L |
14.156677858159 |
L(r)(E,1)/r! |
Ω |
0.59440784959366 |
Real period |
R |
1.9847031880584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15886d1 127088g1 |
Quadratic twists by: -4 13 |