Atkin-Lehner |
3+ 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
80925i |
Isogeny class |
Conductor |
80925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-6821724609375 = -1 · 3 · 59 · 132 · 832 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 6 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2138,130406] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1390:1] |
Generators of the group modulo torsion |
j |
-553387661/3492723 |
j-invariant |
L |
4.896423142727 |
L(r)(E,1)/r! |
Ω |
0.64514521863606 |
Real period |
R |
3.794822467903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002546 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80925s1 |
Quadratic twists by: 5 |