Atkin-Lehner |
2- 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150cp |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
600 |
Product of Tamagawa factors cp |
Δ |
4014300174007500000 = 25 · 35 · 57 · 136 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -6 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5226338,4597352292] |
[a1,a2,a3,a4,a6] |
Generators |
[2392:-77246:1] |
Generators of the group modulo torsion |
j |
1010406591783329842009/256915211136480 |
j-invariant |
L |
11.592051102637 |
L(r)(E,1)/r! |
Ω |
0.24131408901652 |
Real period |
R |
0.32024794322891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430c2 |
Quadratic twists by: 5 |