Atkin-Lehner |
3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
108927c |
Isogeny class |
Conductor |
108927 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
20966400 |
Modular degree for the optimal curve |
Δ |
-1.2820178915139E+21 |
Discriminant |
Eigenvalues |
1 3- 1 7+ -5 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-582014169,-5404266777708] |
[a1,a2,a3,a4,a6] |
Generators |
[1182104029726476:67200910326261888:40247815483] |
Generators of the group modulo torsion |
j |
-5188150154256692921809/305057872899 |
j-invariant |
L |
6.8292592313359 |
L(r)(E,1)/r! |
Ω |
0.015368665846851 |
Real period |
R |
22.218126476916 |
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 |
36309r1 108927r1 |
Quadratic twists by: -3 -7 |