Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1764c |
Isogeny class |
Conductor |
1764 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
-338688 = -1 · 28 · 33 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-28] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
2.8914967084481 |
L(r)(E,1)/r! |
Ω |
1.3937088007993 |
Real period |
R |
0.34577963330525 |
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 |
7056bg1 28224j1 1764c2 44100j1 |
Quadratic twists by: -4 8 -3 5 |