Atkin-Lehner |
2+ 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150bd |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
-13168657642291200 = -1 · 220 · 36 · 52 · 75 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6498,-5519084] |
[a1,a2,a3,a4,a6] |
Generators |
[1548:60154:1] |
Generators of the group modulo torsion |
j |
1664783262455/722560090112 |
j-invariant |
L |
4.4615314139059 |
L(r)(E,1)/r! |
Ω |
0.18657934101586 |
Real period |
R |
2.3912247078269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000250663 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14350t1 129150dr2 |
Quadratic twists by: -3 5 |