Atkin-Lehner |
2+ 3+ 23- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
41814a |
Isogeny class |
Conductor |
41814 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84864 |
Modular degree for the optimal curve |
Δ |
-5993084878848 = -1 · 217 · 39 · 23 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 -2 -4 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3552,-142336] |
[a1,a2,a3,a4,a6] |
j |
-251837305875/304480256 |
j-invariant |
L |
0.59113617837535 |
L(r)(E,1)/r! |
Ω |
0.29556808918616 |
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 |
41814d1 |
Quadratic twists by: -3 |