Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840ch |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-2097649495641600000 = -1 · 212 · 320 · 55 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-832512,300559984] |
[a1,a2,a3,a4,a6] |
j |
-21370158463320064/702498571875 |
j-invariant |
L |
2.5977048626118 |
L(r)(E,1)/r! |
Ω |
0.25977048626106 |
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 |
2115j1 11280t1 |
Quadratic twists by: -4 -3 |