Atkin-Lehner |
2- 3- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
47472i |
Isogeny class |
Conductor |
47472 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-644002873344 = -1 · 220 · 33 · 232 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -5 -5 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2344,57524] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-138:1] |
Generators of the group modulo torsion |
j |
-347873904937/157227264 |
j-invariant |
L |
9.015425337763 |
L(r)(E,1)/r! |
Ω |
0.85164553994934 |
Real period |
R |
0.88215743472075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5934b1 |
Quadratic twists by: -4 |