Atkin-Lehner |
2+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600w |
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 |
1.4018446935807 |
L(r)(E,1)/r! |
Ω |
0.70092234675422 |
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 |
49600bp1 775c1 9920h1 |
Quadratic twists by: -4 8 5 |