Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
10388f |
Isogeny class |
Conductor |
10388 |
Conductor |
∏ cp |
12 |
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 |
[-7493595010442094147153760956587685:6856846668293553942510796323762:884725655541116555703406551625] |
Generators of the group modulo torsion |
j |
36605303452610058192336/2313332287 |
j-invariant |
L |
5.5614022133957 |
L(r)(E,1)/r! |
Ω |
0.039416571483226 |
Real period |
R |
47.03099909609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41552bc2 93492bd2 1484b2 |
Quadratic twists by: -4 -3 -7 |