Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712m |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-213161475833856 = -1 · 218 · 33 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11- 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12084,-481680] |
[a1,a2,a3,a4,a6] |
Generators |
[52:536:1] [69:825:1] |
Generators of the group modulo torsion |
j |
27570978261/30116537 |
j-invariant |
L |
9.9323780152057 |
L(r)(E,1)/r! |
Ω |
0.30350673024037 |
Real period |
R |
5.4542327102422 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712cu2 1683a2 107712g2 |
Quadratic twists by: -4 8 -3 |