Atkin-Lehner |
2+ 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
30528s |
Isogeny class |
Conductor |
30528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-324110647296 = -1 · 223 · 36 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 5 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15852,768688] |
[a1,a2,a3,a4,a6] |
Generators |
[68:72:1] |
Generators of the group modulo torsion |
j |
-2305199161/1696 |
j-invariant |
L |
6.4502988971525 |
L(r)(E,1)/r! |
Ω |
0.9563238742118 |
Real period |
R |
1.6862223852951 |
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 |
30528bs1 954i1 3392d1 |
Quadratic twists by: -4 8 -3 |