Atkin-Lehner |
3+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3363a |
Isogeny class |
Conductor |
3363 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
448 |
Modular degree for the optimal curve |
Δ |
-5357259 = -1 · 34 · 19 · 592 |
Discriminant |
Eigenvalues |
0 3+ -1 -1 -3 2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-151,-675] |
[a1,a2,a3,a4,a6] |
Generators |
[43:265:1] |
Generators of the group modulo torsion |
j |
-383290015744/5357259 |
j-invariant |
L |
2.0953982909294 |
L(r)(E,1)/r! |
Ω |
0.68002500230629 |
Real period |
R |
0.7703386948358 |
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 |
53808z1 10089d1 84075k1 63897n1 |
Quadratic twists by: -4 -3 5 -19 |