Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400cr |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-44089920000 = -1 · 29 · 39 · 54 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-675,-12150] |
[a1,a2,a3,a4,a6] |
Generators |
[90:810:1] |
Generators of the group modulo torsion |
j |
-5400/7 |
j-invariant |
L |
5.2325374913328 |
L(r)(E,1)/r! |
Ω |
0.44669908904736 |
Real period |
R |
1.9522976501887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50400r1 100800by1 50400o1 50400l1 |
Quadratic twists by: -4 8 -3 5 |