Atkin-Lehner |
2- 3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27636a |
Isogeny class |
Conductor |
27636 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
635040 |
Modular degree for the optimal curve |
Δ |
-565471112750942832 = -1 · 24 · 310 · 78 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ -4 0 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-776666,266182533] |
[a1,a2,a3,a4,a6] |
j |
-561723830988544/6130644327 |
j-invariant |
L |
2.339639459034 |
L(r)(E,1)/r! |
Ω |
0.29245493237912 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110544df1 82908o1 27636w1 |
Quadratic twists by: -4 -3 -7 |