Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600ci |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-263533760000000 = -1 · 212 · 57 · 77 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26133,1812637] |
[a1,a2,a3,a4,a6] |
Generators |
[12:1225:1] |
Generators of the group modulo torsion |
j |
-262144/35 |
j-invariant |
L |
4.5140356276296 |
L(r)(E,1)/r! |
Ω |
0.53466158200622 |
Real period |
R |
1.0553487896707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1225a1 78400hn1 3920bc1 2800s1 |
Quadratic twists by: -4 8 5 -7 |