Atkin-Lehner |
2+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3230a |
Isogeny class |
Conductor |
3230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
39276800 = 28 · 52 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 2 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-110,-300] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:13:1] |
Generators of the group modulo torsion |
j |
147951952569/39276800 |
j-invariant |
L |
2.4613733790394 |
L(r)(E,1)/r! |
Ω |
1.5027029787579 |
Real period |
R |
0.81898199904881 |
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 |
25840s1 103360w1 29070bn1 16150s1 |
Quadratic twists by: -4 8 -3 5 |