Atkin-Lehner |
2- 3- 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63336q |
Isogeny class |
Conductor |
63336 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
346368 |
Modular degree for the optimal curve |
Δ |
-837743751936 = -1 · 28 · 311 · 72 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 0 13+ 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-745785,-248144229] |
[a1,a2,a3,a4,a6] |
j |
-179194741696998624256/3272436531 |
j-invariant |
L |
3.5741170866253 |
L(r)(E,1)/r! |
Ω |
0.081229933740181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126672b1 |
Quadratic twists by: -4 |