Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240ew |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-2332838491200 = -1 · 26 · 36 · 52 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2520,87318] |
[a1,a2,a3,a4,a6] |
Generators |
[21:210:1] |
Generators of the group modulo torsion |
j |
-27664172766784/36450601425 |
j-invariant |
L |
10.447636767807 |
L(r)(E,1)/r! |
Ω |
0.73843302784517 |
Real period |
R |
0.78602153882066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000263 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240bx1 57120g2 |
Quadratic twists by: -4 8 |