Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200db |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-2188386500608000 = -1 · 228 · 53 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11+ 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15020,2359600] |
[a1,a2,a3,a4,a6] |
Generators |
[-156:952:1] |
Generators of the group modulo torsion |
j |
-11436248277/66784256 |
j-invariant |
L |
6.2412238381728 |
L(r)(E,1)/r! |
Ω |
0.3996223380141 |
Real period |
R |
3.9044513460354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998973168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200hb1 3850ba1 123200cl1 |
Quadratic twists by: -4 8 5 |