Atkin-Lehner |
2- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
20720n |
Isogeny class |
Conductor |
20720 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-66304000000000 = -1 · 217 · 59 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ -6 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44840,-3660688] |
[a1,a2,a3,a4,a6] |
j |
-2434278488702761/16187500000 |
j-invariant |
L |
2.9515646627583 |
L(r)(E,1)/r! |
Ω |
0.16397581459768 |
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 |
2590c1 82880x1 103600bo1 |
Quadratic twists by: -4 8 5 |