Atkin-Lehner |
2+ 3+ 7- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
99918c |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
225280 |
Modular degree for the optimal curve |
Δ |
-4194138783744 = -1 · 216 · 33 · 72 · 13 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15576,758592] |
[a1,a2,a3,a4,a6] |
Generators |
[39:438:1] |
Generators of the group modulo torsion |
j |
-15479019494370459/155338473472 |
j-invariant |
L |
5.5771663717769 |
L(r)(E,1)/r! |
Ω |
0.78284664645857 |
Real period |
R |
1.7810532819493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028733 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99918s1 |
Quadratic twists by: -3 |