Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950ch |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
21288960 |
Modular degree for the optimal curve |
Δ |
-4.3723225421316E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -1 -3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-107291651,-427884108802] |
[a1,a2,a3,a4,a6] |
j |
-1516411763988487009/485409024000 |
j-invariant |
L |
1.501066368053 |
L(r)(E,1)/r! |
Ω |
0.023454152140415 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24990bk1 124950u1 |
Quadratic twists by: 5 -7 |