Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10710l |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
1728 |
Product of Tamagawa factors cp |
Δ |
4.1921259685872E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9156294,4087006308] |
[a1,a2,a3,a4,a6] |
Generators |
[-3143:44114:1] |
Generators of the group modulo torsion |
j |
116454264690812369959009/57505157319440250000 |
j-invariant |
L |
3.8042056209952 |
L(r)(E,1)/r! |
Ω |
0.10147878978523 |
Real period |
R |
3.1239743374341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
12 |
Number of elements in the torsion subgroup |
Twists |
85680fd6 3570v6 53550dj6 74970q6 |
Quadratic twists by: -4 -3 5 -7 |