Atkin-Lehner |
2- 7- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
108878p |
Isogeny class |
Conductor |
108878 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
-193763006246813696 = -1 · 218 · 72 · 114 · 1013 |
Discriminant |
Eigenvalues |
2- -3 1 7- 11+ -5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,129543,-11277927] |
[a1,a2,a3,a4,a6] |
Generators |
[2103:96716:1] [6247:491404:1] |
Generators of the group modulo torsion |
j |
4906509298032818511/3954347066261504 |
j-invariant |
L |
11.242158971418 |
L(r)(E,1)/r! |
Ω |
0.17666319327288 |
Real period |
R |
0.58922327069656 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108878i1 |
Quadratic twists by: -7 |