Atkin-Lehner |
3+ 5+ 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
38595c |
Isogeny class |
Conductor |
38595 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51456 |
Modular degree for the optimal curve |
Δ |
5007122325 = 34 · 52 · 313 · 83 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 -4 1 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-14431,672081] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:945:1] [13:697:1] |
Generators of the group modulo torsion |
j |
332386278015729664/5007122325 |
j-invariant |
L |
5.5894457650442 |
L(r)(E,1)/r! |
Ω |
1.2486184321794 |
Real period |
R |
0.37304202395433 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115785n1 |
Quadratic twists by: -3 |