Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5200v |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-676000000 = -1 · 28 · 56 · 132 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 2 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25,1250] |
[a1,a2,a3,a4,a6] |
Generators |
[10:50:1] |
Generators of the group modulo torsion |
j |
432/169 |
j-invariant |
L |
3.546002141464 |
L(r)(E,1)/r! |
Ω |
1.253233293652 |
Real period |
R |
1.4147414369797 |
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 |
1300b2 20800cg2 46800eb2 208c1 |
Quadratic twists by: -4 8 -3 5 |