Atkin-Lehner |
2- 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
49840l |
Isogeny class |
Conductor |
49840 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
90720 |
Modular degree for the optimal curve |
Δ |
-1869778750000 = -1 · 24 · 57 · 75 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -5 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-701,-66410] |
[a1,a2,a3,a4,a6] |
Generators |
[16870:49120:343] |
Generators of the group modulo torsion |
j |
-2384389341184/116861171875 |
j-invariant |
L |
3.0169115145836 |
L(r)(E,1)/r! |
Ω |
0.36536030759275 |
Real period |
R |
8.257359794908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12460c1 |
Quadratic twists by: -4 |