Atkin-Lehner |
2- 3+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126di |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-8472824490356226 = -1 · 2 · 33 · 78 · 115 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11+ 13- 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,37108,3460993] |
[a1,a2,a3,a4,a6] |
Generators |
[-586:4993:8] |
Generators of the group modulo torsion |
j |
36306906237/54435238 |
j-invariant |
L |
12.510080951912 |
L(r)(E,1)/r! |
Ω |
0.28067518899185 |
Real period |
R |
3.7142817730642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070684 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126f1 126126dq1 |
Quadratic twists by: -3 -7 |