Atkin-Lehner |
3+ 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
89301a |
Isogeny class |
Conductor |
89301 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-604139214501 = -1 · 35 · 176 · 103 |
Discriminant |
Eigenvalues |
-1 3+ 1 2 2 -5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1740,45954] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-154:1] [-12:261:1] |
Generators of the group modulo torsion |
j |
-24137569/25029 |
j-invariant |
L |
6.957647808334 |
L(r)(E,1)/r! |
Ω |
0.83296936964546 |
Real period |
R |
4.1764127599618 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000352 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
309a1 |
Quadratic twists by: 17 |