Atkin-Lehner |
2+ 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
56416d |
Isogeny class |
Conductor |
56416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-13352087552 = -1 · 212 · 41 · 433 |
Discriminant |
Eigenvalues |
2+ 1 4 -3 0 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,499,3707] |
[a1,a2,a3,a4,a6] |
Generators |
[505:9524:125] |
Generators of the group modulo torsion |
j |
3348071936/3259787 |
j-invariant |
L |
9.1494173420324 |
L(r)(E,1)/r! |
Ω |
0.82708444329489 |
Real period |
R |
5.5311264866582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56416h1 112832be1 |
Quadratic twists by: -4 8 |