Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4200o |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1102500000000 = 28 · 32 · 510 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4508,103488] |
[a1,a2,a3,a4,a6] |
Generators |
[3:300:1] |
Generators of the group modulo torsion |
j |
2533446736/275625 |
j-invariant |
L |
4.3399244500588 |
L(r)(E,1)/r! |
Ω |
0.84407578963962 |
Real period |
R |
2.5708144359357 |
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 |
8400c2 33600x2 12600cb2 840f2 |
Quadratic twists by: -4 8 -3 5 |