Atkin-Lehner |
3+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
3417c |
Isogeny class |
Conductor |
3417 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-19121214219 = -1 · 3 · 175 · 672 |
Discriminant |
Eigenvalues |
0 3+ 3 2 -3 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-549,-8113] |
[a1,a2,a3,a4,a6] |
Generators |
[455:9681:1] |
Generators of the group modulo torsion |
j |
-18332916908032/19121214219 |
j-invariant |
L |
3.0756124280831 |
L(r)(E,1)/r! |
Ω |
0.47338895081935 |
Real period |
R |
0.64970093255445 |
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 |
54672bh1 10251h1 85425i1 58089j1 |
Quadratic twists by: -4 -3 5 17 |