Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27720bh |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-2088196435710000 = -1 · 24 · 318 · 54 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53058,-5192507] |
[a1,a2,a3,a4,a6] |
j |
-1416213817563136/179029186875 |
j-invariant |
L |
1.2494347292769 |
L(r)(E,1)/r! |
Ω |
0.15617934115965 |
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 |
55440t1 9240n1 |
Quadratic twists by: -4 -3 |