Atkin-Lehner |
3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122247o |
Isogeny class |
Conductor |
122247 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
482549760 |
Modular degree for the optimal curve |
Δ |
3.3270952565039E+32 |
Discriminant |
Eigenvalues |
0 3- 3 -3 -3 6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-31955884266,2016012818742808] |
[a1,a2,a3,a4,a6] |
Generators |
[928489346:56806283372:12167] |
Generators of the group modulo torsion |
j |
205095047944763221180383232/18907938390930371630541 |
j-invariant |
L |
6.2415666752985 |
L(r)(E,1)/r! |
Ω |
0.016664981565955 |
Real period |
R |
6.6880690705884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40749c1 7191i1 |
Quadratic twists by: -3 17 |