Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126ez |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
-296157073665440988 = -1 · 22 · 312 · 78 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,166468,-1498885] |
[a1,a2,a3,a4,a6] |
j |
5948434379159/3453077628 |
j-invariant |
L |
1.4575317364286 |
L(r)(E,1)/r! |
Ω |
0.1821916276582 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042bl1 18018bc1 |
Quadratic twists by: -3 -7 |