Atkin-Lehner |
2+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
85952b |
Isogeny class |
Conductor |
85952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-25102949973753856 = -1 · 240 · 172 · 79 |
Discriminant |
Eigenvalues |
2+ -2 -2 0 0 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13249,-7649889] |
[a1,a2,a3,a4,a6] |
Generators |
[1901:82708:1] |
Generators of the group modulo torsion |
j |
-981218819953/95760154624 |
j-invariant |
L |
2.3128032517176 |
L(r)(E,1)/r! |
Ω |
0.16704298507593 |
Real period |
R |
6.9227787182054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032425 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85952r1 2686a1 |
Quadratic twists by: -4 8 |