Atkin-Lehner |
2- 31+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
105152p |
Isogeny class |
Conductor |
105152 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
822528 |
Modular degree for the optimal curve |
Δ |
-79137723430706176 = -1 · 210 · 317 · 532 |
Discriminant |
Eigenvalues |
2- 0 -3 1 0 2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-162404,28596664] |
[a1,a2,a3,a4,a6] |
Generators |
[837:21887:1] |
Generators of the group modulo torsion |
j |
-462608832626848512/77282933037799 |
j-invariant |
L |
4.4947934179743 |
L(r)(E,1)/r! |
Ω |
0.33043991730505 |
Real period |
R |
6.8012264368259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105152l1 26288b1 |
Quadratic twists by: -4 8 |