Atkin-Lehner |
3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29925t |
Isogeny class |
Conductor |
29925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8876678466796875 = -1 · 37 · 515 · 7 · 19 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 0 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9985800,12145696906] |
[a1,a2,a3,a4,a6] |
Generators |
[118660:140593:64] |
Generators of the group modulo torsion |
j |
-9667735243366334464/779296875 |
j-invariant |
L |
4.2991432639171 |
L(r)(E,1)/r! |
Ω |
0.31414972709353 |
Real period |
R |
1.7106266905323 |
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 |
9975c3 5985r3 |
Quadratic twists by: -3 5 |