Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400gz |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
1356595200000000 = 224 · 32 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -5 -3 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-220833,-39830463] |
[a1,a2,a3,a4,a6] |
Generators |
[-264:3:1] |
Generators of the group modulo torsion |
j |
11631015625/13248 |
j-invariant |
L |
3.6238324710781 |
L(r)(E,1)/r! |
Ω |
0.22024857104503 |
Real period |
R |
4.1133439504612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998947385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400fe1 27600de1 110400ij1 |
Quadratic twists by: -4 8 5 |