Atkin-Lehner |
3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3249c |
Isogeny class |
Conductor |
3249 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-235239331680891 = -1 · 36 · 199 |
Discriminant |
Eigenvalues |
0 3- -3 -1 -3 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-30324,-2162300] |
[a1,a2,a3,a4,a6] |
Generators |
[1634:3245:8] |
Generators of the group modulo torsion |
j |
-89915392/6859 |
j-invariant |
L |
2.2098626173246 |
L(r)(E,1)/r! |
Ω |
0.18010457648394 |
Real period |
R |
3.067471494154 |
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 |
51984cw2 361b2 81225w2 171b2 |
Quadratic twists by: -4 -3 5 -19 |