Atkin-Lehner |
2- 3+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184bz |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
9.9039080983517E+18 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-640032,126373248] |
[a1,a2,a3,a4,a6] |
Generators |
[-552:17640:1] |
Generators of the group modulo torsion |
j |
7078960796596752673/2417946313074138 |
j-invariant |
L |
8.2264165178272 |
L(r)(E,1)/r! |
Ω |
0.21099172440594 |
Real period |
R |
2.4368303200657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000204 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13398bf3 |
Quadratic twists by: -4 |