Atkin-Lehner |
2- 3+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126dk |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
396 |
Product of Tamagawa factors cp |
deg |
7451136 |
Modular degree for the optimal curve |
Δ |
-2.4855203941553E+21 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11+ 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2832901,1543758059] |
[a1,a2,a3,a4,a6] |
Generators |
[-453:13162:1] |
Generators of the group modulo torsion |
j |
16153623810383661/15968688406528 |
j-invariant |
L |
8.2626677781018 |
L(r)(E,1)/r! |
Ω |
0.095277283997298 |
Real period |
R |
1.970961973888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016709 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
126126h2 126126dv1 |
Quadratic twists by: -3 -7 |