Atkin-Lehner |
3+ 11+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
25311a |
Isogeny class |
Conductor |
25311 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-101066823 = -1 · 32 · 114 · 13 · 59 |
Discriminant |
Eigenvalues |
1 3+ -2 4 11+ 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,104,-221] |
[a1,a2,a3,a4,a6] |
j |
122541299063/101066823 |
j-invariant |
L |
1.0462973833001 |
L(r)(E,1)/r! |
Ω |
1.0462973833001 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75933e1 |
Quadratic twists by: -3 |