Atkin-Lehner |
2+ 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
98880s |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
128 |
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 |
[-118:2163:1] |
Generators of the group modulo torsion |
j |
2158893266958784/1087588265625 |
j-invariant |
L |
7.2109467622335 |
L(r)(E,1)/r! |
Ω |
0.38565371884098 |
Real period |
R |
2.3372479015537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002127 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98880a2 49440k1 |
Quadratic twists by: -4 8 |