Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536bi |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
23847763968 = 220 · 32 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9633,360639] |
[a1,a2,a3,a4,a6] |
Generators |
[3:576:1] |
Generators of the group modulo torsion |
j |
377149515625/90972 |
j-invariant |
L |
6.3978084022209 |
L(r)(E,1)/r! |
Ω |
1.1686737593391 |
Real period |
R |
1.3686044439465 |
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 |
25536cd2 798a2 76608bq2 |
Quadratic twists by: -4 8 -3 |