Atkin-Lehner |
2+ 3+ 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
10302b |
Isogeny class |
Conductor |
10302 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3696 |
Modular degree for the optimal curve |
Δ |
659328 = 27 · 3 · 17 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 0 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-153,-795] |
[a1,a2,a3,a4,a6] |
j |
400152624409/659328 |
j-invariant |
L |
1.356440364026 |
L(r)(E,1)/r! |
Ω |
1.356440364026 |
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 |
82416n1 30906o1 |
Quadratic twists by: -4 -3 |