Atkin-Lehner |
3+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
3417d |
Isogeny class |
Conductor |
3417 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-83244280851 = -1 · 35 · 17 · 674 |
Discriminant |
Eigenvalues |
0 3+ -3 -4 3 -5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6817,219372] |
[a1,a2,a3,a4,a6] |
Generators |
[56:100:1] |
Generators of the group modulo torsion |
j |
-35040258397831168/83244280851 |
j-invariant |
L |
1.5375578883887 |
L(r)(E,1)/r! |
Ω |
1.0829062584493 |
Real period |
R |
0.35496098494031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54672bi1 10251g1 85425j1 58089i1 |
Quadratic twists by: -4 -3 5 17 |