Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440bv |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1937784176640000 = 223 · 37 · 54 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49840428,-135431833552] |
[a1,a2,a3,a4,a6] |
Generators |
[224438732:181540808800:343] |
Generators of the group modulo torsion |
j |
71647584155243142409/10140000 |
j-invariant |
L |
6.2294921638101 |
L(r)(E,1)/r! |
Ω |
0.056820377390333 |
Real period |
R |
13.704353195812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440er4 1170n3 12480s4 |
Quadratic twists by: -4 8 -3 |