Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950ig |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-2700044550 = -1 · 2 · 33 · 52 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-148,2582] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:355:8] |
Generators of the group modulo torsion |
j |
-121945/918 |
j-invariant |
L |
14.719549519258 |
L(r)(E,1)/r! |
Ω |
1.234080294109 |
Real period |
R |
1.9879243400921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950bt1 2550t1 |
Quadratic twists by: 5 -7 |