Atkin-Lehner |
2+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20618a |
Isogeny class |
Conductor |
20618 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
822528 |
Modular degree for the optimal curve |
Δ |
933410972446031872 = 216 · 137 · 613 |
Discriminant |
Eigenvalues |
2+ 0 -2 -4 -4 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10374688,12864574464] |
[a1,a2,a3,a4,a6] |
Generators |
[335:96923:1] |
Generators of the group modulo torsion |
j |
25585196494633455393/193380548608 |
j-invariant |
L |
1.2786456733787 |
L(r)(E,1)/r! |
Ω |
0.25036982697537 |
Real period |
R |
5.1070278268972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1586c1 |
Quadratic twists by: 13 |