Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200cd |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3975000000000000 = 212 · 3 · 514 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42033,1355937] |
[a1,a2,a3,a4,a6] |
Generators |
[277:3300:1] |
Generators of the group modulo torsion |
j |
128329125184/62109375 |
j-invariant |
L |
4.7274244370874 |
L(r)(E,1)/r! |
Ω |
0.39161593802131 |
Real period |
R |
3.0178957903002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000156558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127200di3 25440l3 |
Quadratic twists by: -4 5 |