Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
28175i |
Isogeny class |
Conductor |
28175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
101514542609375 = 56 · 710 · 23 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-151517,-22657734] |
[a1,a2,a3,a4,a6] |
Generators |
[-2454296358:441367079:10941048] |
Generators of the group modulo torsion |
j |
209267191953/55223 |
j-invariant |
L |
6.4410540505254 |
L(r)(E,1)/r! |
Ω |
0.24198639910592 |
Real period |
R |
13.308710891033 |
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 |
1127a3 4025a3 |
Quadratic twists by: 5 -7 |