Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680eo |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
75883257453219840 = 212 · 310 · 5 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2677467,1686245834] |
[a1,a2,a3,a4,a6] |
j |
147281603041/5265 |
j-invariant |
L |
1.2883429499782 |
L(r)(E,1)/r! |
Ω |
0.32208565497712 |
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 |
7605p1 40560bg1 9360bm1 |
Quadratic twists by: -4 -3 13 |