Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600bf |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
-54844711200000000 = -1 · 211 · 313 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 0 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40208,11673588] |
[a1,a2,a3,a4,a6] |
Generators |
[-242:2700:1] |
Generators of the group modulo torsion |
j |
-8986321250/68555889 |
j-invariant |
L |
8.6434138425657 |
L(r)(E,1)/r! |
Ω |
0.30354705258425 |
Real period |
R |
0.18253018278053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25800bc1 51600o1 |
Quadratic twists by: -4 5 |