Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
330c |
Isogeny class |
Conductor |
330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-1070530560 = -1 · 216 · 33 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,255,255] |
[a1,a2,a3,a4,a6] |
j |
1833318007919/1070530560 |
j-invariant |
L |
1.8779608986609 |
L(r)(E,1)/r! |
Ω |
0.93898044933045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2640v1 10560q1 990c1 1650h1 |
Quadratic twists by: -4 8 -3 5 |