Atkin-Lehner |
2+ 3- 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810bf |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-27772791865953750 = -1 · 2 · 37 · 54 · 74 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,55440,-6262434] |
[a1,a2,a3,a4,a6] |
Generators |
[105:789:1] [207:-3852:1] |
Generators of the group modulo torsion |
j |
25850053259331839/38097108183750 |
j-invariant |
L |
7.914313800232 |
L(r)(E,1)/r! |
Ω |
0.19836802377432 |
Real period |
R |
1.2467851493054 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004786 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270cs3 |
Quadratic twists by: -3 |