Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600cx |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1257728000000000 = -1 · 217 · 59 · 173 |
Discriminant |
Eigenvalues |
2- -1 5- -2 0 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1862208,-977497088] |
[a1,a2,a3,a4,a6] |
Generators |
[194934:16241750:27] |
Generators of the group modulo torsion |
j |
-18170704189/32 |
j-invariant |
L |
4.1759756139257 |
L(r)(E,1)/r! |
Ω |
0.064619329393185 |
Real period |
R |
8.0780310242169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000079282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14450bg2 115600cq2 115600cp2 |
Quadratic twists by: -4 5 17 |