Atkin-Lehner |
3+ 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
29325l |
Isogeny class |
Conductor |
29325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-4636539556938375 = -1 · 3 · 53 · 174 · 236 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 0 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5822,-3269194] |
[a1,a2,a3,a4,a6] |
j |
174592522712971/37092316455507 |
j-invariant |
L |
0.40936627288523 |
L(r)(E,1)/r! |
Ω |
0.20468313644294 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87975bl1 29325u1 |
Quadratic twists by: -3 5 |