Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950iw |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-624750000000 = -1 · 27 · 3 · 59 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -7 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,237,-37983] |
[a1,a2,a3,a4,a6] |
Generators |
[152:1799:1] |
Generators of the group modulo torsion |
j |
15379/6528 |
j-invariant |
L |
12.8755354751 |
L(r)(E,1)/r! |
Ω |
0.42780990351406 |
Real period |
R |
2.149742430054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950cc1 124950gh1 |
Quadratic twists by: 5 -7 |