Atkin-Lehner |
2+ 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
79680ba |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-4010425712640 = -1 · 230 · 32 · 5 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3615,49023] |
[a1,a2,a3,a4,a6] |
Generators |
[179220:3012009:8000] |
Generators of the group modulo torsion |
j |
19924551431/15298560 |
j-invariant |
L |
9.8392814338065 |
L(r)(E,1)/r! |
Ω |
0.50141309311503 |
Real period |
R |
9.811552162049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680bo1 2490d1 |
Quadratic twists by: -4 8 |