Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9114h |
Isogeny class |
Conductor |
9114 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-411745146624 = -1 · 28 · 32 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -6 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1544,-39360] |
[a1,a2,a3,a4,a6] |
Generators |
[97:809:1] |
Generators of the group modulo torsion |
j |
-3463512697/3499776 |
j-invariant |
L |
2.7685981450654 |
L(r)(E,1)/r! |
Ω |
0.36590466862798 |
Real period |
R |
1.8916116562865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72912ck1 27342bs1 1302g1 |
Quadratic twists by: -4 -3 -7 |