Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200do |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-386810316000000 = -1 · 28 · 39 · 56 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -3 1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5400,-958500] |
[a1,a2,a3,a4,a6] |
Generators |
[894:26622:1] |
Generators of the group modulo torsion |
j |
-221184/4913 |
j-invariant |
L |
7.311026388232 |
L(r)(E,1)/r! |
Ω |
0.23101652892244 |
Real period |
R |
2.6372667005854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15300g2 61200dc1 2448j2 |
Quadratic twists by: -4 -3 5 |