Atkin-Lehner |
2+ 3- 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
10434c |
Isogeny class |
Conductor |
10434 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
54000 |
Modular degree for the optimal curve |
Δ |
-2052805246869024 = -1 · 25 · 39 · 375 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 -4 -2 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21144,2478598] |
[a1,a2,a3,a4,a6] |
Generators |
[176:1965:1] |
Generators of the group modulo torsion |
j |
-1045335347591077369/2052805246869024 |
j-invariant |
L |
3.8810497637835 |
L(r)(E,1)/r! |
Ω |
0.4143814053187 |
Real period |
R |
0.20813084081311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83472o1 31302n1 |
Quadratic twists by: -4 -3 |