Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400cp |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
101269289041920000 = 230 · 38 · 54 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 1 3 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-138433,12639937] |
[a1,a2,a3,a4,a6] |
Generators |
[-399:2048:1] |
Generators of the group modulo torsion |
j |
1790712239425/618098688 |
j-invariant |
L |
5.5367477187975 |
L(r)(E,1)/r! |
Ω |
0.30888547850548 |
Real period |
R |
2.2406150891583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400jb1 3450bb1 110400db1 |
Quadratic twists by: -4 8 5 |