Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520bs |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3502080 |
Modular degree for the optimal curve |
Δ |
-1.6928376336962E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 3 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7701168,8460727328] |
[a1,a2,a3,a4,a6] |
Generators |
[1903187:25686315:1331] |
Generators of the group modulo torsion |
j |
-4229081330325627904/141731974593315 |
j-invariant |
L |
6.3471655380013 |
L(r)(E,1)/r! |
Ω |
0.14867585049285 |
Real period |
R |
3.5576084457317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002087 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520fg1 10440y1 27840y1 |
Quadratic twists by: -4 8 -3 |