Atkin-Lehner |
2- 5+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123970y |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
201356125556547500 = 22 · 54 · 712 · 11 · 232 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6074041,5761339821] |
[a1,a2,a3,a4,a6] |
Generators |
[-2782:35005:1] |
Generators of the group modulo torsion |
j |
210653477924614381441/1711498827500 |
j-invariant |
L |
7.1527850563734 |
L(r)(E,1)/r! |
Ω |
0.28511813774067 |
Real period |
R |
3.1358865669412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999319359 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17710k2 |
Quadratic twists by: -7 |