Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400bj |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-13483584000000 = -1 · 212 · 36 · 56 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3900,-200000] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1125:1] |
Generators of the group modulo torsion |
j |
-140608/289 |
j-invariant |
L |
5.4826673156099 |
L(r)(E,1)/r! |
Ω |
0.28353623535676 |
Real period |
R |
2.4170928726289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400be2 13600r2 4896n2 |
Quadratic twists by: -4 -3 5 |