Atkin-Lehner |
2- 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100368bk |
Isogeny class |
Conductor |
100368 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-219504816 = -1 · 24 · 39 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 3 4 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,-713] |
[a1,a2,a3,a4,a6] |
Generators |
[3983:9162:343] |
Generators of the group modulo torsion |
j |
-16384/18819 |
j-invariant |
L |
9.0937736036992 |
L(r)(E,1)/r! |
Ω |
0.80005506070293 |
Real period |
R |
5.6832173434577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011308 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25092e1 33456v1 |
Quadratic twists by: -4 -3 |