Atkin-Lehner |
5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1225j |
Isogeny class |
Conductor |
1225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-247165842875 = -1 · 53 · 711 |
Discriminant |
Eigenvalues |
-2 1 5- 7- -3 1 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7268,-242126] |
[a1,a2,a3,a4,a6] |
Generators |
[338:6002:1] |
Generators of the group modulo torsion |
j |
-2887553024/16807 |
j-invariant |
L |
1.6063817721982 |
L(r)(E,1)/r! |
Ω |
0.25844000277472 |
Real period |
R |
0.77696068475826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19600dw2 78400ew2 11025bo2 1225i2 |
Quadratic twists by: -4 8 -3 5 |