Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400du |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
7032589516800 = 224 · 36 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 -1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69953,7096863] |
[a1,a2,a3,a4,a6] |
Generators |
[187:-768:1] |
Generators of the group modulo torsion |
j |
5776556465785/1073088 |
j-invariant |
L |
9.4721048298107 |
L(r)(E,1)/r! |
Ω |
0.72412910489897 |
Real period |
R |
0.54502854671356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022788 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400fo1 3450q1 110400bv1 |
Quadratic twists by: -4 8 5 |