Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382cr |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-910076728880484 = -1 · 22 · 316 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11- -7 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3244,-1450501] |
[a1,a2,a3,a4,a6] |
Generators |
[7764:50293:64] |
Generators of the group modulo torsion |
j |
353829047/85266756 |
j-invariant |
L |
10.343934273382 |
L(r)(E,1)/r! |
Ω |
0.23417229410296 |
Real period |
R |
5.521540407354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794t1 41382v1 |
Quadratic twists by: -3 -11 |