Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400bb |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
331200 = 26 · 32 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -5 5 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-368,-2598] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:-3:8] [5543:412644:1] |
Generators of the group modulo torsion |
j |
3454035520/207 |
j-invariant |
L |
9.971064273262 |
L(r)(E,1)/r! |
Ω |
1.0897850869354 |
Real period |
R |
4.5747846948623 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400cy1 55200ck1 110400ep1 |
Quadratic twists by: -4 8 5 |