Atkin-Lehner |
2- 3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
119280cm |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-51299942400 = -1 · 216 · 32 · 52 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,840,-5292] |
[a1,a2,a3,a4,a6] |
Generators |
[36:270:1] |
Generators of the group modulo torsion |
j |
15983964359/12524400 |
j-invariant |
L |
9.8008738966164 |
L(r)(E,1)/r! |
Ω |
0.62600041821778 |
Real period |
R |
1.9570421954736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034615 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910e1 |
Quadratic twists by: -4 |