Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382cp |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-4328925726945798 = -1 · 2 · 312 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 11- 7 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3244,-3165555] |
[a1,a2,a3,a4,a6] |
Generators |
[14038:581037:8] |
Generators of the group modulo torsion |
j |
24167/27702 |
j-invariant |
L |
7.2371962271176 |
L(r)(E,1)/r! |
Ω |
0.2035202372008 |
Real period |
R |
2.9633401271943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794h1 41382t1 |
Quadratic twists by: -3 -11 |