Atkin-Lehner |
3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
2583b |
Isogeny class |
Conductor |
2583 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-94943095947 = -1 · 39 · 76 · 41 |
Discriminant |
Eigenvalues |
0 3+ 0 7- -3 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1080,-5758] |
[a1,a2,a3,a4,a6] |
Generators |
[12:94:1] |
Generators of the group modulo torsion |
j |
7077888000/4823609 |
j-invariant |
L |
2.7543467679471 |
L(r)(E,1)/r! |
Ω |
0.60561301456968 |
Real period |
R |
0.37900258383981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41328s2 2583a1 64575c2 18081a2 |
Quadratic twists by: -4 -3 5 -7 |