Atkin-Lehner |
2- 3+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
20874t |
Isogeny class |
Conductor |
20874 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2163840 |
Modular degree for the optimal curve |
Δ |
5708575569274053084 = 22 · 320 · 78 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-92541450,342612863739] |
[a1,a2,a3,a4,a6] |
j |
15203665023316217484001/990246769884 |
j-invariant |
L |
2.1804440791252 |
L(r)(E,1)/r! |
Ω |
0.18170367326043 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62622l1 20874bg1 |
Quadratic twists by: -3 -7 |