Atkin-Lehner |
2+ 5- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123760n |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2042880 |
Modular degree for the optimal curve |
Δ |
-1.5022762651494E+19 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 3 13+ 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,503645,126058600] |
[a1,a2,a3,a4,a6] |
Generators |
[120:13720:1] |
Generators of the group modulo torsion |
j |
883032010953589889024/938922665718366875 |
j-invariant |
L |
9.3531033471478 |
L(r)(E,1)/r! |
Ω |
0.14676067417005 |
Real period |
R |
2.2760825192945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61880d1 |
Quadratic twists by: -4 |