Atkin-Lehner |
3- 11- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108537t |
Isogeny class |
Conductor |
108537 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
49910784 |
Modular degree for the optimal curve |
Δ |
-2.0229854295278E+23 |
Discriminant |
Eigenvalues |
-2 3- -4 -5 11- 13- -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,13158710,-11429563040] |
[a1,a2,a3,a4,a6] |
Generators |
[5606:488416:1] |
Generators of the group modulo torsion |
j |
1175498678353793024/943737632931483 |
j-invariant |
L |
1.3677521241145 |
L(r)(E,1)/r! |
Ω |
0.055688356843327 |
Real period |
R |
0.07309769926004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000208219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108537s1 |
Quadratic twists by: -11 |