Atkin-Lehner |
3+ 5- 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
22755d |
Isogeny class |
Conductor |
22755 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3320 |
Modular degree for the optimal curve |
Δ |
-1843155 = -1 · 35 · 5 · 37 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5- -3 0 -2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5,-64] |
[a1,a2,a3,a4,a6] |
j |
-16777216/1843155 |
j-invariant |
L |
1.1693740573793 |
L(r)(E,1)/r! |
Ω |
1.1693740573792 |
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 |
68265e1 113775h1 |
Quadratic twists by: -3 5 |