Atkin-Lehner |
2- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101200bq |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
2072576000000 = 219 · 56 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 11- -3 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19008,999988] |
[a1,a2,a3,a4,a6] |
Generators |
[74:64:1] |
Generators of the group modulo torsion |
j |
11867954041/32384 |
j-invariant |
L |
3.7932980371832 |
L(r)(E,1)/r! |
Ω |
0.8290721183199 |
Real period |
R |
1.1438383854241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999586284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12650s1 4048l1 |
Quadratic twists by: -4 5 |