Atkin-Lehner |
3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
7245j |
Isogeny class |
Conductor |
7245 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-459374064841125 = -1 · 310 · 53 · 76 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7313,1060742] |
[a1,a2,a3,a4,a6] |
Generators |
[30:916:1] |
Generators of the group modulo torsion |
j |
-59323563117001/630142750125 |
j-invariant |
L |
2.3194899462701 |
L(r)(E,1)/r! |
Ω |
0.44879451781685 |
Real period |
R |
1.2920667778838 |
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 |
115920dj2 2415g2 36225bn2 50715bs2 |
Quadratic twists by: -4 -3 5 -7 |