Atkin-Lehner |
2- 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200dy |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-12566016000 = -1 · 212 · 35 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 -6 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-968,12468] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:-120:1] [-12:150:1] |
Generators of the group modulo torsion |
j |
-196122941/24543 |
j-invariant |
L |
13.46672905698 |
L(r)(E,1)/r! |
Ω |
1.2271920275977 |
Real period |
R |
0.27434029790351 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7575c1 121200cn1 |
Quadratic twists by: -4 5 |