Atkin-Lehner |
2- 3+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108528v |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-11337663624118272 = -1 · 217 · 38 · 74 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,29392,-4751424] |
[a1,a2,a3,a4,a6] |
Generators |
[232:-3808:1] [437:9558:1] |
Generators of the group modulo torsion |
j |
685545690359375/2767984283232 |
j-invariant |
L |
9.8426556816767 |
L(r)(E,1)/r! |
Ω |
0.20439184158211 |
Real period |
R |
3.0097384288103 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993469 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13566r2 |
Quadratic twists by: -4 |