Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800bj |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
796500000000 = 28 · 33 · 59 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -1 -1 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3133,53137] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:250:1] |
Generators of the group modulo torsion |
j |
850518016/199125 |
j-invariant |
L |
6.056647199973 |
L(r)(E,1)/r! |
Ω |
0.84185938472103 |
Real period |
R |
1.7985922915906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17700q1 14160bd1 |
Quadratic twists by: -4 5 |