Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530cv |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
3.9156267992561E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1415567326,20499412015556] |
[a1,a2,a3,a4,a6] |
Generators |
[-8284:5630642:1] |
Generators of the group modulo torsion |
j |
177075790969525467816444409/2210269248000000 |
j-invariant |
L |
11.531479223929 |
L(r)(E,1)/r! |
Ω |
0.098350640986905 |
Real period |
R |
1.6284533763359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230n3 |
Quadratic twists by: -11 |