Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410cu |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
478569599262562500 = 22 · 36 · 56 · 72 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1906055,-1012476123] |
[a1,a2,a3,a4,a6] |
Generators |
[-806:1003:1] |
Generators of the group modulo torsion |
j |
432288716775559561/270140062500 |
j-invariant |
L |
10.12284863596 |
L(r)(E,1)/r! |
Ω |
0.12849374485395 |
Real period |
R |
2.1883574193233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76230s2 127050bd2 2310l2 |
Quadratic twists by: -3 5 -11 |