Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950cw |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14699520 |
Modular degree for the optimal curve |
Δ |
-3.00689915904E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6618124,-5162809102] |
[a1,a2,a3,a4,a6] |
Generators |
[1182:65071:1] |
Generators of the group modulo torsion |
j |
41870910074901457151/39273784934400000 |
j-invariant |
L |
4.3390176514391 |
L(r)(E,1)/r! |
Ω |
0.064312938380509 |
Real period |
R |
4.2167036923732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999438944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24990bu1 124950f1 |
Quadratic twists by: 5 -7 |