Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200hu |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
212992 |
Modular degree for the optimal curve |
Δ |
-865435648000 = -1 · 218 · 53 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5153,150977] |
[a1,a2,a3,a4,a6] |
Generators |
[43:84:1] |
Generators of the group modulo torsion |
j |
-461889917/26411 |
j-invariant |
L |
11.331543236208 |
L(r)(E,1)/r! |
Ω |
0.87688852131721 |
Real period |
R |
1.6153055565402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025246 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200cr1 30800cu1 123200hg1 |
Quadratic twists by: -4 8 5 |