Atkin-Lehner |
2- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49600bp |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-96875000000 = -1 · 26 · 511 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 2 -6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,967,-9187] |
[a1,a2,a3,a4,a6] |
j |
99897344/96875 |
j-invariant |
L |
1.1634986176555 |
L(r)(E,1)/r! |
Ω |
0.58174930901105 |
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 |
49600w1 12400n1 9920s1 |
Quadratic twists by: -4 8 5 |