Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126o |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
1511720001792 = 28 · 33 · 76 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6477,-190107] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:27:1] |
Generators of the group modulo torsion |
j |
9460870875/475904 |
j-invariant |
L |
5.2048550728994 |
L(r)(E,1)/r! |
Ω |
0.53383562723484 |
Real period |
R |
2.4374801651888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000118111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126dm1 2574c1 |
Quadratic twists by: -3 -7 |