Atkin-Lehner |
2- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51376n |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-2969071076900864 = -1 · 217 · 137 · 192 |
Discriminant |
Eigenvalues |
2- 1 -1 -1 0 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,33744,-1075372] |
[a1,a2,a3,a4,a6] |
Generators |
[31:38:1] [316:6422:1] |
Generators of the group modulo torsion |
j |
214921799/150176 |
j-invariant |
L |
10.264709785442 |
L(r)(E,1)/r! |
Ω |
0.25466719022417 |
Real period |
R |
2.5191480733167 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6422i1 3952g1 |
Quadratic twists by: -4 13 |