Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24080j |
Isogeny class |
Conductor |
24080 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-6965252091822080000 = -1 · 217 · 54 · 711 · 43 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1011736,-411426064] |
[a1,a2,a3,a4,a6] |
Generators |
[1516:39200:1] |
Generators of the group modulo torsion |
j |
-27961843710799634329/1700500998980000 |
j-invariant |
L |
3.9903775728546 |
L(r)(E,1)/r! |
Ω |
0.075002497217753 |
Real period |
R |
0.60458253223062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3010a1 96320bx1 120400bd1 |
Quadratic twists by: -4 8 5 |