Atkin-Lehner |
3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
96075cj |
Isogeny class |
Conductor |
96075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24768 |
Modular degree for the optimal curve |
Δ |
-194551875 = -1 · 36 · 54 · 7 · 61 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -2 2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5,672] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:21:1] |
Generators of the group modulo torsion |
j |
-25/427 |
j-invariant |
L |
4.5932754641287 |
L(r)(E,1)/r! |
Ω |
1.4305731578738 |
Real period |
R |
1.6053969081665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10675p1 96075x1 |
Quadratic twists by: -3 5 |