Atkin-Lehner |
2+ 3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150j |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
-49428933750000 = -1 · 24 · 39 · 57 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3417,347741] |
[a1,a2,a3,a4,a6] |
Generators |
[14:543:1] |
Generators of the group modulo torsion |
j |
-14348907/160720 |
j-invariant |
L |
5.1556597060663 |
L(r)(E,1)/r! |
Ω |
0.53980060237666 |
Real period |
R |
2.3877611952592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999610841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150cj1 25830v1 |
Quadratic twists by: -3 5 |