Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400gg |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-1300070400000000000 = -1 · 224 · 3 · 511 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,214367,39299137] |
[a1,a2,a3,a4,a6] |
Generators |
[918141:48247100:343] |
Generators of the group modulo torsion |
j |
265971760991/317400000 |
j-invariant |
L |
5.8201358489243 |
L(r)(E,1)/r! |
Ω |
0.18161387503234 |
Real period |
R |
8.0116894152092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400cu1 27600cu1 22080cv1 |
Quadratic twists by: -4 8 5 |