Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400hy |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
5.743236387162E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-470769208,1470318965588] |
[a1,a2,a3,a4,a6] |
Generators |
[1532:867582:1] |
Generators of the group modulo torsion |
j |
1442307535559216746181/717904548395249292 |
j-invariant |
L |
8.1884860497684 |
L(r)(E,1)/r! |
Ω |
0.037827218838925 |
Real period |
R |
7.731097858154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932751 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550p2 92400fp2 |
Quadratic twists by: -4 5 |