Atkin-Lehner |
2+ 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
43800d |
Isogeny class |
Conductor |
43800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
1915812000000 = 28 · 38 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3308,-29388] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:200:1] |
Generators of the group modulo torsion |
j |
1001132368/478953 |
j-invariant |
L |
2.4745329783852 |
L(r)(E,1)/r! |
Ω |
0.66002400591077 |
Real period |
R |
1.8745780124752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87600p1 1752k1 |
Quadratic twists by: -4 5 |