Atkin-Lehner |
2- 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
121800bb |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
4956986425781250000 = 24 · 36 · 514 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-431383,20597512] |
[a1,a2,a3,a4,a6] |
Generators |
[1237:37125:1] |
Generators of the group modulo torsion |
j |
35511890207512576/19827945703125 |
j-invariant |
L |
6.2332641433923 |
L(r)(E,1)/r! |
Ω |
0.21026030400502 |
Real period |
R |
3.7056829454787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999939184 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360o1 |
Quadratic twists by: 5 |