Atkin-Lehner |
2+ 3- 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
65790q |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
57286642500 = 22 · 36 · 54 · 17 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2250,40000] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-250:1] [-49:200:1] |
Generators of the group modulo torsion |
j |
1728432036001/78582500 |
j-invariant |
L |
6.6452580016784 |
L(r)(E,1)/r! |
Ω |
1.1023186812217 |
Real period |
R |
1.507109086252 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7310l1 |
Quadratic twists by: -3 |