Atkin-Lehner |
2- 3+ 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
91650ce |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
18172476562500 = 22 · 34 · 59 · 13 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -6 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-69338,-7053469] |
[a1,a2,a3,a4,a6] |
Generators |
[2990:33751:8] |
Generators of the group modulo torsion |
j |
2359489284905689/1163038500 |
j-invariant |
L |
6.8502236705268 |
L(r)(E,1)/r! |
Ω |
0.29421820580324 |
Real period |
R |
2.9103500110856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330i1 |
Quadratic twists by: 5 |