Atkin-Lehner |
2+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200r |
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 |
2.7266813067175 |
L(r)(E,1)/r! |
Ω |
2.7266813106382 |
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 |
75200cg1 4700d1 75200bi1 |
Quadratic twists by: -4 8 5 |