Atkin-Lehner |
2- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55660x |
Isogeny class |
Conductor |
55660 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
498960 |
Modular degree for the optimal curve |
Δ |
-17435157762961840 = -1 · 24 · 5 · 112 · 239 |
Discriminant |
Eigenvalues |
2- 2 5- -3 11- -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18935,6266922] |
[a1,a2,a3,a4,a6] |
j |
387785308258304/9005763307315 |
j-invariant |
L |
0.87489815851146 |
L(r)(E,1)/r! |
Ω |
0.29163272006586 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55660v1 |
Quadratic twists by: -11 |