Atkin-Lehner |
2- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200cg |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-1203200 = -1 · 210 · 52 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 0 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73,-223] |
[a1,a2,a3,a4,a6] |
j |
-1703680/47 |
j-invariant |
L |
0.81439967270617 |
L(r)(E,1)/r! |
Ω |
0.81439964265553 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200r1 18800q1 75200ds1 |
Quadratic twists by: -4 8 5 |