Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
4800cf |
Isogeny class |
Conductor |
4800 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-283435200 = -1 · 26 · 311 · 52 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -4 -7 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43,803] |
[a1,a2,a3,a4,a6] |
Generators |
[2:27:1] |
Generators of the group modulo torsion |
j |
-5624320/177147 |
j-invariant |
L |
4.569608956414 |
L(r)(E,1)/r! |
Ω |
1.4477738674937 |
Real period |
R |
0.28693638237632 |
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 |
4800bm1 2400t1 14400ea1 4800bx1 |
Quadratic twists by: -4 8 -3 5 |