Atkin-Lehner |
3+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
2343b |
Isogeny class |
Conductor |
2343 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
7029 = 32 · 11 · 71 |
Discriminant |
Eigenvalues |
-2 3+ 1 1 11+ 7 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-30,74] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] |
Generators of the group modulo torsion |
j |
3086626816/7029 |
j-invariant |
L |
1.5929420703351 |
L(r)(E,1)/r! |
Ω |
4.2066520023872 |
Real period |
R |
0.18933608834664 |
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 |
37488bc1 7029h1 58575m1 114807u1 |
Quadratic twists by: -4 -3 5 -7 |