Atkin-Lehner |
2+ 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970a |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1122398471250000000 = 27 · 39 · 510 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-264075,-11338939] |
[a1,a2,a3,a4,a6] |
Generators |
[3497:202753:1] |
Generators of the group modulo torsion |
j |
103470181314070563/57023750000000 |
j-invariant |
L |
2.8312446105577 |
L(r)(E,1)/r! |
Ω |
0.22534004926612 |
Real period |
R |
6.2821602723937 |
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 |
95760ce2 11970bj2 59850ec2 83790o2 |
Quadratic twists by: -4 -3 5 -7 |