Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1330b |
Isogeny class |
Conductor |
1330 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
336 |
Modular degree for the optimal curve |
Δ |
-85120 = -1 · 27 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -3 1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-408,3008] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-4:1] |
Generators of the group modulo torsion |
j |
-7539913083529/85120 |
j-invariant |
L |
2.4864699210824 |
L(r)(E,1)/r! |
Ω |
3.0928099427024 |
Real period |
R |
0.8039517355243 |
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 |
10640s1 42560bg1 11970bz1 6650z1 |
Quadratic twists by: -4 8 -3 5 |