Atkin-Lehner |
2+ 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
98880a |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4454761536000000 = 212 · 38 · 56 · 1032 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43081,-1224119] |
[a1,a2,a3,a4,a6] |
Generators |
[7909:703080:1] |
Generators of the group modulo torsion |
j |
2158893266958784/1087588265625 |
j-invariant |
L |
4.0190773415362 |
L(r)(E,1)/r! |
Ω |
0.34936533362468 |
Real period |
R |
5.7519692621263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052283 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98880s2 49440e1 |
Quadratic twists by: -4 8 |