Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56644n |
Isogeny class |
Conductor |
56644 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
7168236545951488 = 28 · 713 · 172 |
Discriminant |
Eigenvalues |
2- 3 2 7- 0 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13913599,19975944758] |
[a1,a2,a3,a4,a6] |
Generators |
[665188456800042:1716351054442262:299015684703] |
Generators of the group modulo torsion |
j |
34222845097047888/823543 |
j-invariant |
L |
12.993587619859 |
L(r)(E,1)/r! |
Ω |
0.30418933688021 |
Real period |
R |
21.357730276023 |
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 |
8092d1 56644v1 |
Quadratic twists by: -7 17 |