Atkin-Lehner |
3- 7- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
102459p |
Isogeny class |
Conductor |
102459 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
185400 |
Modular degree for the optimal curve |
Δ |
-14385120751659 = -1 · 3 · 72 · 175 · 413 |
Discriminant |
Eigenvalues |
0 3- 2 7- 0 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-17397,896081] |
[a1,a2,a3,a4,a6] |
j |
-11884356909924352/293573892891 |
j-invariant |
L |
2.1061282906125 |
L(r)(E,1)/r! |
Ω |
0.70204281460527 |
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 |
102459a1 |
Quadratic twists by: -7 |