Atkin-Lehner |
2- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
105196r |
Isogeny class |
Conductor |
105196 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
542376 |
Modular degree for the optimal curve |
Δ |
-701037710931376 = -1 · 24 · 79 · 13 · 174 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 0 13- 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48937,-4373544] |
[a1,a2,a3,a4,a6] |
Generators |
[287:2303:1] |
Generators of the group modulo torsion |
j |
-9699044343808/524596891 |
j-invariant |
L |
3.6608173857633 |
L(r)(E,1)/r! |
Ω |
0.1599911657564 |
Real period |
R |
2.542374688074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999304869 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
105196i1 |
Quadratic twists by: 17 |