Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30528bl |
Isogeny class |
Conductor |
30528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-2187746869248 = -1 · 221 · 39 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 -5 3 4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34860,2506192] |
[a1,a2,a3,a4,a6] |
Generators |
[74:576:1] |
Generators of the group modulo torsion |
j |
-24515367625/11448 |
j-invariant |
L |
4.5861025860977 |
L(r)(E,1)/r! |
Ω |
0.81059523981799 |
Real period |
R |
0.70721217582148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30528h1 7632n1 10176t1 |
Quadratic twists by: -4 8 -3 |