Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350bn |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
120000 |
Modular degree for the optimal curve |
Δ |
-433770187500000 = -1 · 25 · 35 · 59 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 3 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,18924,-2702] |
[a1,a2,a3,a4,a6] |
Generators |
[2:186:1] |
Generators of the group modulo torsion |
j |
13436683/7776 |
j-invariant |
L |
5.1734417461045 |
L(r)(E,1)/r! |
Ω |
0.31597738036914 |
Real period |
R |
1.6372823080123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050fo1 25350cd1 25350df1 |
Quadratic twists by: -3 5 13 |