Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950ea |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
38707200 |
Modular degree for the optimal curve |
Δ |
-6.7158874247141E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,87528674,236893484048] |
[a1,a2,a3,a4,a6] |
Generators |
[-398:449636:1] |
Generators of the group modulo torsion |
j |
322742744589591019/292270598258688 |
j-invariant |
L |
5.4616684585787 |
L(r)(E,1)/r! |
Ω |
0.040375054259782 |
Real period |
R |
3.7575927829826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124950gm1 17850m1 |
Quadratic twists by: 5 -7 |