Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050hy |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
87194017968750 = 2 · 32 · 58 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-50820063,139440111867] |
[a1,a2,a3,a4,a6] |
Generators |
[41638:989047:8] |
Generators of the group modulo torsion |
j |
524388516989299201/3150 |
j-invariant |
L |
15.172507983584 |
L(r)(E,1)/r! |
Ω |
0.29469120508048 |
Real period |
R |
6.4357654882901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005583 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410n6 1050g5 |
Quadratic twists by: 5 -11 |