Atkin-Lehner |
5- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
80465f |
Isogeny class |
Conductor |
80465 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
484047265625 = 58 · 72 · 113 · 19 |
Discriminant |
Eigenvalues |
-1 -2 5- 7+ 11+ -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2505,34552] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:298:1] [-31:303:1] |
Generators of the group modulo torsion |
j |
1306109784491/363671875 |
j-invariant |
L |
4.8017442772321 |
L(r)(E,1)/r! |
Ω |
0.86938903025194 |
Real period |
R |
0.69039062349037 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80465r1 |
Quadratic twists by: -11 |