Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400jd |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
13907220480000 = 214 · 310 · 54 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -5 -1 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14833,666863] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:552:1] [53:180:1] |
Generators of the group modulo torsion |
j |
35248450000/1358127 |
j-invariant |
L |
12.247453828408 |
L(r)(E,1)/r! |
Ω |
0.69943795971808 |
Real period |
R |
0.14592018322026 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400co1 27600by1 110400go1 |
Quadratic twists by: -4 8 5 |