Atkin-Lehner |
2- 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
4326n |
Isogeny class |
Conductor |
4326 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
37428552 = 23 · 32 · 72 · 1032 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-399,-3087] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:9:1] |
Generators of the group modulo torsion |
j |
7026036894577/37428552 |
j-invariant |
L |
5.6998757542357 |
L(r)(E,1)/r! |
Ω |
1.0685379342464 |
Real period |
R |
0.88904592146523 |
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 |
34608j2 12978n2 108150c2 30282w2 |
Quadratic twists by: -4 -3 5 -7 |