Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45472be |
Isogeny class |
Conductor |
45472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
10699470656 = 26 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 0 2 7- 6 -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2009,34300] |
[a1,a2,a3,a4,a6] |
j |
119095488/1421 |
j-invariant |
L |
2.5730442181249 |
L(r)(E,1)/r! |
Ω |
1.2865221089539 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45472q1 90944p2 6496k1 |
Quadratic twists by: -4 8 -7 |