Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600ch |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
29376 |
Modular degree for the optimal curve |
Δ |
-80248320000 = -1 · 212 · 36 · 54 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,267,13437] |
[a1,a2,a3,a4,a6] |
Generators |
[12:135:1] |
Generators of the group modulo torsion |
j |
819200/31347 |
j-invariant |
L |
4.8614600657278 |
L(r)(E,1)/r! |
Ω |
0.81951162445765 |
Real period |
R |
0.98869048357426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3225j1 51600dg1 |
Quadratic twists by: -4 5 |