Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400l |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-429235200000000 = -1 · 216 · 36 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11967,-864063] |
[a1,a2,a3,a4,a6] |
Generators |
[2703:140616:1] |
Generators of the group modulo torsion |
j |
185073116/419175 |
j-invariant |
L |
6.134435454854 |
L(r)(E,1)/r! |
Ω |
0.27470256931363 |
Real period |
R |
5.582797659622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400il1 13800k1 22080bf1 |
Quadratic twists by: -4 8 5 |