Atkin-Lehner |
2+ 3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25830c |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
482704431152343750 = 2 · 39 · 514 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-319425,60998111] |
[a1,a2,a3,a4,a6] |
Generators |
[227:270:1] |
Generators of the group modulo torsion |
j |
183121735163703363/24523925781250 |
j-invariant |
L |
3.4116170349537 |
L(r)(E,1)/r! |
Ω |
0.28403789701922 |
Real period |
R |
6.0055666352205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25830w2 129150ck2 |
Quadratic twists by: -3 5 |