Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126dc |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
17632702100901888 = 212 · 39 · 76 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-470556,124194384] |
[a1,a2,a3,a4,a6] |
Generators |
[2008:84276:1] |
Generators of the group modulo torsion |
j |
134351465835313/205590528 |
j-invariant |
L |
6.5322369936422 |
L(r)(E,1)/r! |
Ω |
0.3884660268876 |
Real period |
R |
4.2038662936316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042dg1 2574m1 |
Quadratic twists by: -3 -7 |