Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1470d |
Isogeny class |
Conductor |
1470 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1058841000000 = 26 · 32 · 56 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16342,795796] |
[a1,a2,a3,a4,a6] |
Generators |
[132:-1046:1] |
Generators of the group modulo torsion |
j |
4102915888729/9000000 |
j-invariant |
L |
1.8988268001151 |
L(r)(E,1)/r! |
Ω |
0.87566212778175 |
Real period |
R |
0.361407811657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11760cp6 47040cg6 4410bb6 7350cj6 |
Quadratic twists by: -4 8 -3 5 |