Atkin-Lehner |
3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3249f |
Isogeny class |
Conductor |
3249 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-764292588631214859 = -1 · 38 · 1911 |
Discriminant |
Eigenvalues |
-2 3- -1 3 3 6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-14264193,-20735753270] |
[a1,a2,a3,a4,a6] |
Generators |
[12319790:207599981:2744] |
Generators of the group modulo torsion |
j |
-9358714467168256/22284891 |
j-invariant |
L |
1.9762864062807 |
L(r)(E,1)/r! |
Ω |
0.038842546593907 |
Real period |
R |
6.3599280286079 |
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 |
51984cq2 1083c2 81225bi2 171c2 |
Quadratic twists by: -4 -3 5 -19 |