Atkin-Lehner |
11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45617b |
Isogeny class |
Conductor |
45617 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
529920 |
Modular degree for the optimal curve |
Δ |
-56637434306229491 = -1 · 119 · 134 · 292 |
Discriminant |
Eigenvalues |
2 1 -3 0 11- 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,6978,-11445593] |
[a1,a2,a3,a4,a6] |
Generators |
[3290:62553:8] [29092:592989:64] |
Generators of the group modulo torsion |
j |
21207928832/31970355131 |
j-invariant |
L |
16.758484482206 |
L(r)(E,1)/r! |
Ω |
0.16404786193865 |
Real period |
R |
6.3847542281876 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4147b1 |
Quadratic twists by: -11 |