Atkin-Lehner |
3+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
109989d |
Isogeny class |
Conductor |
109989 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
53141515317 = 33 · 117 · 101 |
Discriminant |
Eigenvalues |
-2 3+ 0 1 11- -4 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1815,27618] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-182:1] |
Generators of the group modulo torsion |
j |
13824000/1111 |
j-invariant |
L |
2.4131734347812 |
L(r)(E,1)/r! |
Ω |
1.0958589154353 |
Real period |
R |
0.275260504585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044123 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109989b1 9999b1 |
Quadratic twists by: -3 -11 |