Atkin-Lehner |
2- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
97600bu |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-15616000000 = -1 · 214 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 -1 1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,100,-6000] |
[a1,a2,a3,a4,a6] |
j |
432/61 |
j-invariant |
L |
1.1744610850052 |
L(r)(E,1)/r! |
Ω |
0.58723052725979 |
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 |
97600c1 24400v1 3904h1 |
Quadratic twists by: -4 8 5 |