Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950et |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-235203880800 = -1 · 25 · 3 · 52 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5783,168461] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-70:1] |
Generators of the group modulo torsion |
j |
-7272098185/79968 |
j-invariant |
L |
9.3857944913758 |
L(r)(E,1)/r! |
Ω |
0.99493036155535 |
Real period |
R |
0.9433619531538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950dx1 17850cb1 |
Quadratic twists by: 5 -7 |