Atkin-Lehner |
2- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
112700u |
Isogeny class |
Conductor |
112700 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-11923660000000 = -1 · 28 · 57 · 72 · 233 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -6 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69533,7036063] |
[a1,a2,a3,a4,a6] |
Generators |
[153:50:1] [178:575:1] |
Generators of the group modulo torsion |
j |
-189691027456/60835 |
j-invariant |
L |
7.1111933933863 |
L(r)(E,1)/r! |
Ω |
0.69966610170033 |
Real period |
R |
0.2823248822592 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22540g2 112700d2 |
Quadratic twists by: 5 -7 |