Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400fo |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
4 |
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] |
j |
5776556465785/1073088 |
j-invariant |
L |
1.1742543346023 |
L(r)(E,1)/r! |
Ω |
0.29356365919235 |
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 |
110400du1 27600ck1 110400ji1 |
Quadratic twists by: -4 8 5 |