Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410cr |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
248090480257712400 = 24 · 310 · 52 · 72 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-210966,-28596204] |
[a1,a2,a3,a4,a6] |
Generators |
[-294:2982:1] |
Generators of the group modulo torsion |
j |
586145095611769/140040608400 |
j-invariant |
L |
9.8901644415406 |
L(r)(E,1)/r! |
Ω |
0.22662643269191 |
Real period |
R |
1.0910206197114 |
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 |
76230cj2 127050e2 2310f2 |
Quadratic twists by: -3 5 -11 |