Atkin-Lehner |
2+ 3- 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110m |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
3.8010791575803E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9432763380,352620771984000] |
[a1,a2,a3,a4,a6] |
Generators |
[48160:-3192480:1] |
Generators of the group modulo torsion |
j |
127324800640445734294052812418881/521410035333380777456400 |
j-invariant |
L |
2.9225511312122 |
L(r)(E,1)/r! |
Ω |
0.047089091074197 |
Real period |
R |
3.1032146353645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981624 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29370bp3 |
Quadratic twists by: -3 |