Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400bl |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
9024000000 = 212 · 3 · 56 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 3 4 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-533,1437] |
[a1,a2,a3,a4,a6] |
j |
262144/141 |
j-invariant |
L |
1.1360357247633 |
L(r)(E,1)/r! |
Ω |
1.136035721935 |
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 |
3525m1 2256o1 |
Quadratic twists by: -4 5 |