Atkin-Lehner |
3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
71775o |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-651358125 = -1 · 33 · 54 · 113 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5- 1 11+ -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2442,-45859] |
[a1,a2,a3,a4,a6] |
Generators |
[424612:1113031:6859] |
Generators of the group modulo torsion |
j |
-95459013675/38599 |
j-invariant |
L |
6.6835166778035 |
L(r)(E,1)/r! |
Ω |
0.33955824028468 |
Real period |
R |
9.8414879760471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71775r1 71775d1 |
Quadratic twists by: -3 5 |