Atkin-Lehner |
2+ 3+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30528a |
Isogeny class |
Conductor |
30528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-48016392192 = -1 · 225 · 33 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -3 -1 2 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-684,12592] |
[a1,a2,a3,a4,a6] |
Generators |
[86:768:1] |
Generators of the group modulo torsion |
j |
-5000211/6784 |
j-invariant |
L |
5.9290205771846 |
L(r)(E,1)/r! |
Ω |
1.0196199512654 |
Real period |
R |
0.72686648709482 |
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 |
30528ba1 954h1 30528c1 |
Quadratic twists by: -4 8 -3 |