Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
4700d |
Isogeny class |
Conductor |
4700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
252 |
Modular degree for the optimal curve |
Δ |
-18800 = -1 · 24 · 52 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18,37] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] |
Generators of the group modulo torsion |
j |
-1703680/47 |
j-invariant |
L |
3.1034567528951 |
L(r)(E,1)/r! |
Ω |
3.8561096897738 |
Real period |
R |
0.80481547532874 |
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 |
18800q1 75200r1 42300l1 4700h1 |
Quadratic twists by: -4 8 -3 5 |