Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350cv |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-64262250000 = -1 · 24 · 32 · 56 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 13+ -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-88,-12208] |
[a1,a2,a3,a4,a6] |
Generators |
[26:44:1] |
Generators of the group modulo torsion |
j |
-169/144 |
j-invariant |
L |
10.689330935981 |
L(r)(E,1)/r! |
Ω |
0.49758163875149 |
Real period |
R |
2.6853208859359 |
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 |
76050bj1 1014a1 25350ba1 |
Quadratic twists by: -3 5 13 |