Atkin-Lehner |
3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129285g |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
379392 |
Modular degree for the optimal curve |
Δ |
-9360510023475 = -1 · 33 · 52 · 138 · 17 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 -5 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-52728,4662583] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:2957:1] [338:12671:8] |
Generators of the group modulo torsion |
j |
-736100352/425 |
j-invariant |
L |
7.9992855106702 |
L(r)(E,1)/r! |
Ω |
0.72028856584705 |
Real period |
R |
0.92547231491354 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999917338 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129285i1 129285k1 |
Quadratic twists by: -3 13 |