Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126du |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
275786481296918592 = 26 · 39 · 77 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-385076,-88339625] |
[a1,a2,a3,a4,a6] |
Generators |
[-407:1121:1] |
Generators of the group modulo torsion |
j |
2726983297611/119094976 |
j-invariant |
L |
7.6352896490921 |
L(r)(E,1)/r! |
Ω |
0.19216924181469 |
Real period |
R |
3.3110092298449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006418 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126t1 18018v1 |
Quadratic twists by: -3 -7 |