Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56644l |
Isogeny class |
Conductor |
56644 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-3808062832 = -1 · 24 · 77 · 172 |
Discriminant |
Eigenvalues |
2- -2 2 7- 0 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,278,-2283] |
[a1,a2,a3,a4,a6] |
Generators |
[37:245:1] |
Generators of the group modulo torsion |
j |
4352/7 |
j-invariant |
L |
4.2199152751303 |
L(r)(E,1)/r! |
Ω |
0.73661551491995 |
Real period |
R |
1.4321973911777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8092c1 56644t1 |
Quadratic twists by: -7 17 |