Atkin-Lehner |
2+ 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248g |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-422369052384559104 = -1 · 223 · 315 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 11+ -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13910401,19973720449] |
[a1,a2,a3,a4,a6] |
j |
-1135540872025530818401/1611210069216 |
j-invariant |
L |
2.0278602855742 |
L(r)(E,1)/r! |
Ω |
0.25348253590804 |
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 |
61248ck1 1914p1 |
Quadratic twists by: -4 8 |