Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200ei |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4283020800000000 = -1 · 215 · 39 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -6 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12382875,16771826250] |
[a1,a2,a3,a4,a6] |
Generators |
[2031:-54:1] [1869:12528:1] |
Generators of the group modulo torsion |
j |
-6667713086715/136 |
j-invariant |
L |
9.0673325221521 |
L(r)(E,1)/r! |
Ω |
0.31530111131707 |
Real period |
R |
3.5947116092734 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650bt2 61200ea1 61200dd2 |
Quadratic twists by: -4 -3 5 |