Atkin-Lehner |
2- 53- |
Signs for the Atkin-Lehner involutions |
Class |
3392r |
Isogeny class |
Conductor |
3392 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
336 |
Modular degree for the optimal curve |
Δ |
54272 = 210 · 53 |
Discriminant |
Eigenvalues |
2- 2 -2 0 -4 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69,245] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:21:1] |
Generators of the group modulo torsion |
j |
35995648/53 |
j-invariant |
L |
4.170848866642 |
L(r)(E,1)/r! |
Ω |
3.5360498876123 |
Real period |
R |
2.3590441307141 |
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 |
3392j1 848d2 30528bn1 84800bs1 |
Quadratic twists by: -4 8 -3 5 |