Atkin-Lehner |
3+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
25773c |
Isogeny class |
Conductor |
25773 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2278848 |
Modular degree for the optimal curve |
Δ |
-8.684627340461E+21 |
Discriminant |
Eigenvalues |
2 3+ 0 -3 11- -2 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5432698,-6620699625] |
[a1,a2,a3,a4,a6] |
j |
-82723519149568000/40514427486963 |
j-invariant |
L |
2.6091574858903 |
L(r)(E,1)/r! |
Ω |
0.048317731220194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77319ba1 25773e1 |
Quadratic twists by: -3 -11 |