Atkin-Lehner |
5- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
19525f |
Isogeny class |
Conductor |
19525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1191330078125 = 59 · 112 · 712 |
Discriminant |
Eigenvalues |
1 -2 5- -2 11+ -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2701,12423] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:261:1] |
Generators of the group modulo torsion |
j |
1115157653/609961 |
j-invariant |
L |
2.6420336868342 |
L(r)(E,1)/r! |
Ω |
0.7532368043423 |
Real period |
R |
1.7537869044657 |
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 |
19525g2 |
Quadratic twists by: 5 |