Atkin-Lehner |
2- 3- 7+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
99918u |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
872448 |
Modular degree for the optimal curve |
Δ |
-25406784424030464 = -1 · 28 · 37 · 7 · 134 · 613 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 0 13+ 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,73237,766523] |
[a1,a2,a3,a4,a6] |
Generators |
[21:1510:1] |
Generators of the group modulo torsion |
j |
59592743712091799/34851556137216 |
j-invariant |
L |
10.111648100176 |
L(r)(E,1)/r! |
Ω |
0.22829322753122 |
Real period |
R |
1.3841365587821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33306e1 |
Quadratic twists by: -3 |