Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552bc |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
69673274939715328 = 28 · 713 · 532 |
Discriminant |
Eigenvalues |
2- 0 4 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-215220103,1215268849410] |
[a1,a2,a3,a4,a6] |
Generators |
[4384409649233390:-76815356657430195:575515133432] |
Generators of the group modulo torsion |
j |
36605303452610058192336/2313332287 |
j-invariant |
L |
7.7010216542944 |
L(r)(E,1)/r! |
Ω |
0.19066271073314 |
Real period |
R |
20.19540586798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10388f2 5936o2 |
Quadratic twists by: -4 -7 |