Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
9024r |
Isogeny class |
Conductor |
9024 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
34354368 = 26 · 35 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-308,1962] |
[a1,a2,a3,a4,a6] |
Generators |
[13:18:1] |
Generators of the group modulo torsion |
j |
50653000000/536787 |
j-invariant |
L |
5.3401798663163 |
L(r)(E,1)/r! |
Ω |
2.0769837821567 |
Real period |
R |
1.028449025398 |
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 |
9024a1 4512c2 27072i1 |
Quadratic twists by: -4 8 -3 |