Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970dc |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-1089433290585937500 = -1 · 22 · 314 · 510 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15142,50208981] |
[a1,a2,a3,a4,a6] |
Generators |
[-22636:57213:64] |
Generators of the group modulo torsion |
j |
1535602031153/4356914062500 |
j-invariant |
L |
8.5651608084952 |
L(r)(E,1)/r! |
Ω |
0.21650567978033 |
Real period |
R |
4.9451132275151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001383 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990n1 74970dp1 |
Quadratic twists by: -3 -7 |