Atkin-Lehner |
2+ 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
8946g |
Isogeny class |
Conductor |
8946 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
1449252 = 22 · 36 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ -2 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-99,-351] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:3:1] |
Generators of the group modulo torsion |
j |
148035889/1988 |
j-invariant |
L |
2.1441332614057 |
L(r)(E,1)/r! |
Ω |
1.5140431927707 |
Real period |
R |
1.4161638661589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71568bw1 994e1 62622bh1 |
Quadratic twists by: -4 -3 -7 |