Atkin-Lehner |
2+ 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126g |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
-243259318779789312 = -1 · 214 · 39 · 74 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- 13- -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,73344,22446080] |
[a1,a2,a3,a4,a6] |
Generators |
[128:-5888:1] |
Generators of the group modulo torsion |
j |
923274208269/5147377664 |
j-invariant |
L |
6.0078355076836 |
L(r)(E,1)/r! |
Ω |
0.22551477481751 |
Real period |
R |
0.55501124920118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000228391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126dj1 126126v1 |
Quadratic twists by: -3 -7 |