Atkin-Lehner |
2+ 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200a |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13415625000000000 = 29 · 34 · 514 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1150008,-474262488] |
[a1,a2,a3,a4,a6] |
Generators |
[-127235951120881:36002422463762:205274587699] |
Generators of the group modulo torsion |
j |
21025033059312008/1676953125 |
j-invariant |
L |
6.4708802751957 |
L(r)(E,1)/r! |
Ω |
0.14578954692429 |
Real period |
R |
22.192538335706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000088196 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127200w4 25440bj4 |
Quadratic twists by: -4 5 |