Atkin-Lehner |
2+ 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
57720l |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1332639360000 = -1 · 210 · 32 · 54 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3816,105120] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:444:1] [27:150:1] |
Generators of the group modulo torsion |
j |
-6002921407396/1301405625 |
j-invariant |
L |
10.561702256749 |
L(r)(E,1)/r! |
Ω |
0.81989295415779 |
Real period |
R |
1.6102257927677 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440f2 |
Quadratic twists by: -4 |