Atkin-Lehner |
2- 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
30544k |
Isogeny class |
Conductor |
30544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-719372288 = -1 · 214 · 232 · 83 |
Discriminant |
Eigenvalues |
2- 1 0 -1 -5 -2 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88,1300] |
[a1,a2,a3,a4,a6] |
Generators |
[12:46:1] [6:32:1] |
Generators of the group modulo torsion |
j |
-18609625/175628 |
j-invariant |
L |
9.0805935397553 |
L(r)(E,1)/r! |
Ω |
1.3707152898887 |
Real period |
R |
0.82808895533775 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3818c1 122176bd1 |
Quadratic twists by: -4 8 |