Atkin-Lehner |
3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3249g |
Isogeny class |
Conductor |
3249 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-5864692479579 = -1 · 38 · 197 |
Discriminant |
Eigenvalues |
-2 3- 3 -5 -1 -2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7581,279504] |
[a1,a2,a3,a4,a6] |
Generators |
[152:1624:1] |
Generators of the group modulo torsion |
j |
-1404928/171 |
j-invariant |
L |
1.8171017267877 |
L(r)(E,1)/r! |
Ω |
0.7358445498379 |
Real period |
R |
0.30867622230606 |
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 |
51984cv1 1083e1 81225bj1 171d1 |
Quadratic twists by: -4 -3 5 -19 |