Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550by |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-958398166250000 = -1 · 24 · 57 · 79 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-420813,-105116383] |
[a1,a2,a3,a4,a6] |
Generators |
[7732:673559:1] |
Generators of the group modulo torsion |
j |
-4483146738169/521360 |
j-invariant |
L |
10.394343812208 |
L(r)(E,1)/r! |
Ω |
0.093722580259261 |
Real period |
R |
3.4657949368554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9310h1 6650t1 |
Quadratic twists by: 5 -7 |