Atkin-Lehner |
2- 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
7272f |
Isogeny class |
Conductor |
7272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
123668446464 = 28 · 314 · 101 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 6 5 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2532,-46028] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:54:1] |
Generators of the group modulo torsion |
j |
9619385344/662661 |
j-invariant |
L |
4.5072535696572 |
L(r)(E,1)/r! |
Ω |
0.67594682951067 |
Real period |
R |
1.6670148349243 |
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 |
14544b1 58176bc1 2424e1 |
Quadratic twists by: -4 8 -3 |