Atkin-Lehner |
3- 5- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
42735o |
Isogeny class |
Conductor |
42735 |
Conductor |
∏ cp |
2304 |
Product of Tamagawa factors cp |
Δ |
1.3293989601222E+31 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-73825139665,7718662495197992] |
[a1,a2,a3,a4,a6] |
Generators |
[-285751:74181263:1] |
Generators of the group modulo torsion |
j |
44497595507772250226326951375326498961/13293989601222180902978759765625 |
j-invariant |
L |
5.1505971717676 |
L(r)(E,1)/r! |
Ω |
0.021900042752636 |
Real period |
R |
1.633240460717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
128205x3 |
Quadratic twists by: -3 |