Atkin-Lehner |
5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
25075a |
Isogeny class |
Conductor |
25075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-927414546875 = -1 · 56 · 172 · 593 |
Discriminant |
Eigenvalues |
1 -3 5+ -1 0 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1583,-39884] |
[a1,a2,a3,a4,a6] |
Generators |
[100:1004:1] |
Generators of the group modulo torsion |
j |
28066748319/59354531 |
j-invariant |
L |
3.1359475110942 |
L(r)(E,1)/r! |
Ω |
0.45956843954207 |
Real period |
R |
3.4118395012275 |
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 |
1003c1 |
Quadratic twists by: 5 |