Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200di |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
6.3560335302697E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34175408,66660453312] |
[a1,a2,a3,a4,a6] |
Generators |
[8562:633750:1] |
Generators of the group modulo torsion |
j |
68973914606086620649/9931302391046400 |
j-invariant |
L |
5.4943603272055 |
L(r)(E,1)/r! |
Ω |
0.087562416897049 |
Real period |
R |
2.6144970414072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016793 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13650cv2 21840bw2 |
Quadratic twists by: -4 5 |