Atkin-Lehner |
3- 7- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
102459r |
Isogeny class |
Conductor |
102459 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
237262796771553 = 310 · 78 · 17 · 41 |
Discriminant |
Eigenvalues |
1 3- 2 7- 4 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28495,-1698931] |
[a1,a2,a3,a4,a6] |
j |
21748011137497/2016700497 |
j-invariant |
L |
3.6964206138152 |
L(r)(E,1)/r! |
Ω |
0.36964206112134 |
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 |
14637b1 |
Quadratic twists by: -7 |