Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1014g |
Isogeny class |
Conductor |
1014 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3120 |
Modular degree for the optimal curve |
Δ |
-41230293562224 = -1 · 24 · 35 · 139 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8193,-117495] |
[a1,a2,a3,a4,a6] |
j |
5735339/3888 |
j-invariant |
L |
3.6537922925477 |
L(r)(E,1)/r! |
Ω |
0.36537922925477 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8112w1 32448r1 3042g1 25350k1 |
Quadratic twists by: -4 8 -3 5 |