Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240kg |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-58283347046400 = -1 · 212 · 314 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13945,727943] |
[a1,a2,a3,a4,a6] |
Generators |
[23:648:1] |
Generators of the group modulo torsion |
j |
-73223496485056/14229332775 |
j-invariant |
L |
9.4488414858109 |
L(r)(E,1)/r! |
Ω |
0.60029630722853 |
Real period |
R |
0.56215342060564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059498 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240hv2 57120c1 |
Quadratic twists by: -4 8 |