Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520l |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
40884480 = 28 · 33 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87,54] |
[a1,a2,a3,a4,a6] |
j |
10536048/5915 |
j-invariant |
L |
3.5205828906066 |
L(r)(E,1)/r! |
Ω |
1.7602914457826 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760f1 65520f1 |
Quadratic twists by: -4 -3 |