Atkin-Lehner |
11- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
108779c |
Isogeny class |
Conductor |
108779 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
185192997292259 = 118 · 29 · 313 |
Discriminant |
Eigenvalues |
1 0 1 2 11- 0 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15329,327806] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1016:1] |
Generators of the group modulo torsion |
j |
224866629441/104536619 |
j-invariant |
L |
8.5934476828024 |
L(r)(E,1)/r! |
Ω |
0.50825324841993 |
Real period |
R |
2.8179677784176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9889a1 |
Quadratic twists by: -11 |