Atkin-Lehner |
2+ 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150bz |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-453851566342272000 = -1 · 210 · 316 · 53 · 72 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,180378,-13503564] |
[a1,a2,a3,a4,a6] |
Generators |
[124:3218:1] |
Generators of the group modulo torsion |
j |
7122550189034827/4980538450944 |
j-invariant |
L |
4.7400459389208 |
L(r)(E,1)/r! |
Ω |
0.16745661742017 |
Real period |
R |
1.7691320612884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43050cc2 129150du2 |
Quadratic twists by: -3 5 |