Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950bk |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
739200 |
Modular degree for the optimal curve |
Δ |
-249750944352000000 = -1 · 211 · 36 · 56 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 1 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1036917,-406861259] |
[a1,a2,a3,a4,a6] |
Generators |
[1869:63728:1] |
Generators of the group modulo torsion |
j |
-10824513276632329/21926008832 |
j-invariant |
L |
4.742839146192 |
L(r)(E,1)/r! |
Ω |
0.074796422502233 |
Real period |
R |
4.5292837998747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4550u1 1638r1 |
Quadratic twists by: -3 5 |