Atkin-Lehner |
2+ 3+ 5- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
62730c |
Isogeny class |
Conductor |
62730 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
79736832 |
Modular degree for the optimal curve |
Δ |
3.8541312E+28 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -3 -1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6193352994,187365357956500] |
[a1,a2,a3,a4,a6] |
Generators |
[-81484:12328742:1] |
Generators of the group modulo torsion |
j |
973055134900160822253509667851643/1427456000000000000000000000 |
j-invariant |
L |
4.7053763363899 |
L(r)(E,1)/r! |
Ω |
0.036382423121019 |
Real period |
R |
1.5396551453565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996805 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62730r1 |
Quadratic twists by: -3 |