Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930bt |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-12571903968750 = -1 · 2 · 32 · 56 · 73 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19668,1073608] |
[a1,a2,a3,a4,a6] |
Generators |
[4:995:1] |
Generators of the group modulo torsion |
j |
-2452892123873647/36652781250 |
j-invariant |
L |
5.5097843761821 |
L(r)(E,1)/r! |
Ω |
0.71300278972931 |
Real period |
R |
0.32198239938829 |
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 |
83790ek2 27930d2 |
Quadratic twists by: -3 -7 |