Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
24990bk |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-2798286426964224000 = -1 · 211 · 38 · 53 · 78 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -1 3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4291666,-3424789537] |
[a1,a2,a3,a4,a6] |
Generators |
[4577:-272181:1] |
Generators of the group modulo torsion |
j |
-1516411763988487009/485409024000 |
j-invariant |
L |
6.5097508929954 |
L(r)(E,1)/r! |
Ω |
0.052445078540589 |
Real period |
R |
0.94034170633831 |
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 |
74970bj1 124950ch1 24990cc1 |
Quadratic twists by: -3 5 -7 |