Atkin-Lehner |
3- 5+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
25665i |
Isogeny class |
Conductor |
25665 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
53413725594898125 = 315 · 54 · 29 · 593 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 -6 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-94251,-660904] |
[a1,a2,a3,a4,a6] |
Generators |
[2586:13271:8] |
Generators of the group modulo torsion |
j |
92594719462183174144/53413725594898125 |
j-invariant |
L |
3.7854937078796 |
L(r)(E,1)/r! |
Ω |
0.29712814056331 |
Real period |
R |
1.2740273273016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
76995q1 128325c1 |
Quadratic twists by: -3 5 |