Atkin-Lehner |
2- 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
9030x |
Isogeny class |
Conductor |
9030 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-37926000 = -1 · 24 · 32 · 53 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,84,0] |
[a1,a2,a3,a4,a6] |
Generators |
[6:24:1] |
Generators of the group modulo torsion |
j |
65499561791/37926000 |
j-invariant |
L |
7.2751059258841 |
L(r)(E,1)/r! |
Ω |
1.2210741342652 |
Real period |
R |
1.4894889920549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240bj1 27090ba1 45150c1 63210bx1 |
Quadratic twists by: -4 -3 5 -7 |