Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200ea |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
113664 |
Modular degree for the optimal curve |
Δ |
-212629504000 = -1 · 214 · 53 · 473 |
Discriminant |
Eigenvalues |
2- 2 5- 4 2 -1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10373,410717] |
[a1,a2,a3,a4,a6] |
j |
-60276601856/103823 |
j-invariant |
L |
5.9953861063156 |
L(r)(E,1)/r! |
Ω |
0.99923101431664 |
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 |
75200bm1 18800n1 75200dn1 |
Quadratic twists by: -4 8 5 |