Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950fj |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
1566720 |
Modular degree for the optimal curve |
Δ |
-15993600000000000 = -1 · 217 · 3 · 511 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11787,6069531] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-2508:1] |
Generators of the group modulo torsion |
j |
236545752359/20889600000 |
j-invariant |
L |
6.9545983086355 |
L(r)(E,1)/r! |
Ω |
0.30005528253493 |
Real period |
R |
0.34084887316892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999607276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24990bd1 124950hg1 |
Quadratic twists by: 5 -7 |