Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200ez |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-62093304000000000 = -1 · 212 · 38 · 59 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,30792,11796912] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:2754:1] |
Generators of the group modulo torsion |
j |
403583419/7761663 |
j-invariant |
L |
6.2481321240474 |
L(r)(E,1)/r! |
Ω |
0.26132165529558 |
Real period |
R |
2.988717148894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6825k2 109200go2 |
Quadratic twists by: -4 5 |