Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
9024bl |
Isogeny class |
Conductor |
9024 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
413351755776 = 214 · 35 · 473 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 1 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3941,91389] |
[a1,a2,a3,a4,a6] |
Generators |
[28:47:1] |
Generators of the group modulo torsion |
j |
413269421056/25228989 |
j-invariant |
L |
3.0468476516499 |
L(r)(E,1)/r! |
Ω |
0.92958196287212 |
Real period |
R |
1.0925511944588 |
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 |
9024n1 2256g1 27072bz1 |
Quadratic twists by: -4 8 -3 |