Atkin-Lehner |
2- 5+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450bl |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
3010560 |
Modular degree for the optimal curve |
Δ |
-4.1874645533594E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -5 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,740120,-953735253] |
[a1,a2,a3,a4,a6] |
Generators |
[3885:-248007:1] |
Generators of the group modulo torsion |
j |
2869529254509772791/26799773141499904 |
j-invariant |
L |
9.5564005473711 |
L(r)(E,1)/r! |
Ω |
0.083002730897165 |
Real period |
R |
0.34265942799391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001615 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3458a1 |
Quadratic twists by: 5 |