Atkin-Lehner |
3- 5- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
102225t |
Isogeny class |
Conductor |
102225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
430265831619140625 = 3 · 59 · 294 · 473 |
Discriminant |
Eigenvalues |
1 3- 5- 4 0 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-776076,-261315827] |
[a1,a2,a3,a4,a6] |
j |
26467055507088197/220296105789 |
j-invariant |
L |
5.1498142773602 |
L(r)(E,1)/r! |
Ω |
0.16093169997195 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102225k1 |
Quadratic twists by: 5 |