Atkin-Lehner |
2- 3+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
49560r |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
480000 |
Modular degree for the optimal curve |
Δ |
67757812500000000 = 28 · 3 · 515 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -5 3 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-261401,-49806099] |
[a1,a2,a3,a4,a6] |
Generators |
[-252:21:1] |
Generators of the group modulo torsion |
j |
7716265141781146624/264678955078125 |
j-invariant |
L |
3.8999353990789 |
L(r)(E,1)/r! |
Ω |
0.21158578484352 |
Real period |
R |
4.6079837097423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99120x1 |
Quadratic twists by: -4 |