Atkin-Lehner |
2+ 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
63162b |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
476928 |
Modular degree for the optimal curve |
Δ |
-6373195577819136 = -1 · 223 · 39 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -5 11+ -3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,39891,2302757] |
[a1,a2,a3,a4,a6] |
j |
267961876623/243269632 |
j-invariant |
L |
1.1053727566478 |
L(r)(E,1)/r! |
Ω |
0.27634318951437 |
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 |
63162bh1 63162bf1 |
Quadratic twists by: -3 -11 |