Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126fq |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
4300800 |
Modular degree for the optimal curve |
Δ |
-5.4432151385484E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-684221,416651141] |
[a1,a2,a3,a4,a6] |
Generators |
[207:-16952:1] |
Generators of the group modulo torsion |
j |
-1204210547119/1850314752 |
j-invariant |
L |
10.391949959955 |
L(r)(E,1)/r! |
Ω |
0.17871102028618 |
Real period |
R |
1.2114471597945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999791861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042bc1 126126fx1 |
Quadratic twists by: -3 -7 |