Atkin-Lehner |
2- 3+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
98880bh |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
-280260725760 = -1 · 210 · 312 · 5 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-285,-25443] |
[a1,a2,a3,a4,a6] |
Generators |
[365534561:-99704866488:4913] |
Generators of the group modulo torsion |
j |
-2508888064/273692115 |
j-invariant |
L |
7.0040880213688 |
L(r)(E,1)/r! |
Ω |
0.43259787132176 |
Real period |
R |
16.190759310548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98880bb1 24720c1 |
Quadratic twists by: -4 8 |