Atkin-Lehner |
3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75429k |
Isogeny class |
Conductor |
75429 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
294371916443170749 = 310 · 172 · 297 |
Discriminant |
Eigenvalues |
2 3- 1 3 6 3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-386427,-88697547] |
[a1,a2,a3,a4,a6] |
j |
30290101672185856/1397239981029 |
j-invariant |
L |
9.6015516809325 |
L(r)(E,1)/r! |
Ω |
0.19203103208206 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25143r1 75429y1 |
Quadratic twists by: -3 17 |