Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
7350w |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3783150656250000 = 24 · 3 · 59 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3284251,2290605398] |
[a1,a2,a3,a4,a6] |
Generators |
[867:9316:1] |
Generators of the group modulo torsion |
j |
2131200347946769/2058000 |
j-invariant |
L |
3.7597882280398 |
L(r)(E,1)/r! |
Ω |
0.3705106241369 |
Real period |
R |
2.5368963688951 |
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 |
58800fd3 22050dz3 1470m3 1050a3 |
Quadratic twists by: -4 -3 5 -7 |