Atkin-Lehner |
2- 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
80100q |
Isogeny class |
Conductor |
80100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17856 |
Modular degree for the optimal curve |
Δ |
-77857200 = -1 · 24 · 37 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,60,385] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:9:1] [-1:18:1] |
Generators of the group modulo torsion |
j |
81920/267 |
j-invariant |
L |
10.694026271433 |
L(r)(E,1)/r! |
Ω |
1.3661838671803 |
Real period |
R |
0.65230521114549 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26700f1 80100v1 |
Quadratic twists by: -3 5 |