Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410n |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
15312664659600 = 24 · 32 · 52 · 74 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8472,230256] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:756:1] |
Generators of the group modulo torsion |
j |
37966934881/8643600 |
j-invariant |
L |
3.248176246987 |
L(r)(E,1)/r! |
Ω |
0.65894956693128 |
Real period |
R |
1.2323311259288 |
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 |
76230dk2 127050hy2 210c2 |
Quadratic twists by: -3 5 -11 |