Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968fo |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-233890015057776 = -1 · 24 · 37 · 73 · 117 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 3 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14883,230263] |
[a1,a2,a3,a4,a6] |
Generators |
[374:7623:1] |
Generators of the group modulo torsion |
j |
17643776/11319 |
j-invariant |
L |
8.5490989899405 |
L(r)(E,1)/r! |
Ω |
0.34738707015434 |
Real period |
R |
1.02540504877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064582 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30492p1 40656dg1 11088bg1 |
Quadratic twists by: -4 -3 -11 |