Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6960bb |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-34800 = -1 · 24 · 3 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 -5 -5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30,75] |
[a1,a2,a3,a4,a6] |
Generators |
[5:5:1] |
Generators of the group modulo torsion |
j |
-192914176/2175 |
j-invariant |
L |
4.1332158413016 |
L(r)(E,1)/r! |
Ω |
3.688946342914 |
Real period |
R |
0.56021631342524 |
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 |
1740g1 27840du1 20880cf1 34800dd1 |
Quadratic twists by: -4 8 -3 5 |