Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200gm |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
-168668013696000000 = -1 · 213 · 3 · 56 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1469798408,21688272547188] |
[a1,a2,a3,a4,a6] |
Generators |
[22134:24:1] |
Generators of the group modulo torsion |
j |
-5486773802537974663600129/2635437714 |
j-invariant |
L |
8.9281103083501 |
L(r)(E,1)/r! |
Ω |
0.13687879100652 |
Real period |
R |
2.3295141616953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13650f2 4368n2 |
Quadratic twists by: -4 5 |