Atkin-Lehner |
3+ 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125715l |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
149040 |
Modular degree for the optimal curve |
Δ |
-515510071875 = -1 · 39 · 55 · 172 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 3 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4587,-126396] |
[a1,a2,a3,a4,a6] |
j |
-36945369802009/1783771875 |
j-invariant |
L |
1.4461846582507 |
L(r)(E,1)/r! |
Ω |
0.28923691589882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125715y1 |
Quadratic twists by: 17 |