Atkin-Lehner |
2- 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150cn |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
1.6935328859094E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3762713,1992676917] |
[a1,a2,a3,a4,a6] |
Generators |
[-1082:69805:1] |
Generators of the group modulo torsion |
j |
377056971487334249929/108386104698202500 |
j-invariant |
L |
12.978098742116 |
L(r)(E,1)/r! |
Ω |
0.13901916784171 |
Real period |
R |
1.94489048754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000235 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14430a2 |
Quadratic twists by: 5 |