Atkin-Lehner |
2- 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
4800ca |
Isogeny class |
Conductor |
4800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-52488000 = -1 · 26 · 38 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128,702] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] |
Generators of the group modulo torsion |
j |
-29218112/6561 |
j-invariant |
L |
2.7523579989133 |
L(r)(E,1)/r! |
Ω |
1.9070934760803 |
Real period |
R |
1.4432213383532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4800cr1 2400q2 14400fi1 4800cq1 |
Quadratic twists by: -4 8 -3 5 |