Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400ct |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
9024000000 = 212 · 3 · 56 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -1 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10533,412563] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:591:1] |
Generators of the group modulo torsion |
j |
2019487744/141 |
j-invariant |
L |
6.3323697250614 |
L(r)(E,1)/r! |
Ω |
1.2358507968883 |
Real period |
R |
5.1238950048575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000216 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3525h1 2256i1 |
Quadratic twists by: -4 5 |