Atkin-Lehner |
2- 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
119064o |
Isogeny class |
Conductor |
119064 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-2927933525366784 = -1 · 211 · 39 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 11- 3 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,22224,-2277108] |
[a1,a2,a3,a4,a6] |
Generators |
[1830107197:7369096988:22188041] |
Generators of the group modulo torsion |
j |
334568302/807003 |
j-invariant |
L |
6.6303854101033 |
L(r)(E,1)/r! |
Ω |
0.23343139643228 |
Real period |
R |
14.202000025231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
984a1 |
Quadratic twists by: -11 |