Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712bl |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-608959212060672 = -1 · 215 · 312 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60204,5808368] |
[a1,a2,a3,a4,a6] |
Generators |
[244:2376:1] |
Generators of the group modulo torsion |
j |
-1010234719304/25492401 |
j-invariant |
L |
10.043885485085 |
L(r)(E,1)/r! |
Ω |
0.51369955636623 |
Real period |
R |
2.4440077238394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712ci2 53856bf2 35904r2 |
Quadratic twists by: -4 8 -3 |