Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126cz |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-4.7628132462299E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- 13- 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-972855,496890589] |
[a1,a2,a3,a4,a6] |
Generators |
[-325:28067:1] |
Generators of the group modulo torsion |
j |
-494493264769/231289344 |
j-invariant |
L |
5.1964783868241 |
L(r)(E,1)/r! |
Ω |
0.18794343066061 |
Real period |
R |
3.4561452633501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042cd1 126126bi1 |
Quadratic twists by: -3 -7 |