Atkin-Lehner |
3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
71775ba |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-140518487548828125 = -1 · 38 · 514 · 112 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-61880,-18968128] |
[a1,a2,a3,a4,a6] |
Generators |
[384:3520:1] |
Generators of the group modulo torsion |
j |
-2300490759601/12336328125 |
j-invariant |
L |
2.6733412230857 |
L(r)(E,1)/r! |
Ω |
0.13616373353943 |
Real period |
R |
2.4541604740236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23925v2 14355b2 |
Quadratic twists by: -3 5 |