Atkin-Lehner |
13+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
107939a |
Isogeny class |
Conductor |
107939 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
848160 |
Modular degree for the optimal curve |
Δ |
-145035195660186299 = -1 · 135 · 198 · 23 |
Discriminant |
Eigenvalues |
1 1 -1 -3 3 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-355954,-83798765] |
[a1,a2,a3,a4,a6] |
Generators |
[89577064141121059234291539108725745821:11088330084014540143629082777363693824256:5790383509083257474270445409453783] |
Generators of the group modulo torsion |
j |
-293680278649/8539739 |
j-invariant |
L |
5.9996665512188 |
L(r)(E,1)/r! |
Ω |
0.097561191335616 |
Real period |
R |
61.496446169662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107939g1 |
Quadratic twists by: -19 |