Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ei |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-1.0894654652012E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,20023924,-36501307702] |
[a1,a2,a3,a4,a6] |
Generators |
[8913:917527:1] |
Generators of the group modulo torsion |
j |
10604001783815/13011038208 |
j-invariant |
L |
6.110473896099 |
L(r)(E,1)/r! |
Ω |
0.046730950099613 |
Real period |
R |
3.6321834648355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000103389 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050ez2 127050in2 |
Quadratic twists by: 5 -11 |