Atkin-Lehner |
2+ 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
70800k |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-2495354850000000000 = -1 · 210 · 35 · 511 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 6 3 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-285408,-96118812] |
[a1,a2,a3,a4,a6] |
j |
-160695486160996/155959678125 |
j-invariant |
L |
3.9741699201516 |
L(r)(E,1)/r! |
Ω |
0.099354248328973 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35400l1 14160a1 |
Quadratic twists by: -4 5 |