Atkin-Lehner |
2- 3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26520r |
Isogeny class |
Conductor |
26520 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
32263597464181200 = 24 · 32 · 52 · 135 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 4 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3089195,-2088807468] |
[a1,a2,a3,a4,a6] |
j |
203769809659907949070336/2016474841511325 |
j-invariant |
L |
2.2775528617066 |
L(r)(E,1)/r! |
Ω |
0.11387764308533 |
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 |
53040z1 79560s1 |
Quadratic twists by: -4 -3 |