Atkin-Lehner |
2- 3+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
8514f |
Isogeny class |
Conductor |
8514 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-148960944 = -1 · 24 · 39 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 3 -3 11+ -2 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3161,-67607] |
[a1,a2,a3,a4,a6] |
Generators |
[97:680:1] |
Generators of the group modulo torsion |
j |
-177409591659/7568 |
j-invariant |
L |
6.8604791362474 |
L(r)(E,1)/r! |
Ω |
0.31836334398917 |
Real period |
R |
2.6936514778539 |
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 |
68112bh1 8514a1 93654e1 |
Quadratic twists by: -4 -3 -11 |