Atkin-Lehner |
5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21025a |
Isogeny class |
Conductor |
21025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-195408755062890625 = -1 · 58 · 298 |
Discriminant |
Eigenvalues |
-1 0 5+ 2 6 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,48620,20851872] |
[a1,a2,a3,a4,a6] |
Generators |
[-186:2405:1] |
Generators of the group modulo torsion |
j |
1367631/21025 |
j-invariant |
L |
3.4589382171479 |
L(r)(E,1)/r! |
Ω |
0.23632995866252 |
Real period |
R |
3.6590136907773 |
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 |
4205a2 725a2 |
Quadratic twists by: 5 29 |