Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30528bk |
Isogeny class |
Conductor |
30528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-169927323049525248 = -1 · 242 · 36 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 -5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-163020,-32174192] |
[a1,a2,a3,a4,a6] |
Generators |
[25484334834:11860829929472:117649] |
Generators of the group modulo torsion |
j |
-2507141976625/889192448 |
j-invariant |
L |
6.457920381848 |
L(r)(E,1)/r! |
Ω |
0.11671806624978 |
Real period |
R |
13.832306748528 |
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 |
30528g1 7632m1 3392p1 |
Quadratic twists by: -4 8 -3 |