Atkin-Lehner |
2+ 3- 7- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378w |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-2.6167079188739E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3610881,-2752383443] |
[a1,a2,a3,a4,a6] |
Generators |
[2294:30983:1] |
Generators of the group modulo torsion |
j |
-7142262037760751921937/358944844838667696 |
j-invariant |
L |
6.6035342475295 |
L(r)(E,1)/r! |
Ω |
0.05460048086885 |
Real period |
R |
2.5196413475945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069866 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42126q2 |
Quadratic twists by: -3 |