Atkin-Lehner |
2- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
74200x |
Isogeny class |
Conductor |
74200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-122893750000 = -1 · 24 · 58 · 7 · 532 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 1 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50708,4378213] |
[a1,a2,a3,a4,a6] |
Generators |
[127:53:1] |
Generators of the group modulo torsion |
j |
-2307181200640/19663 |
j-invariant |
L |
4.4425991842942 |
L(r)(E,1)/r! |
Ω |
0.94082409025193 |
Real period |
R |
1.1805073951796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997118 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74200b1 |
Quadratic twists by: 5 |