Atkin-Lehner |
2- 3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
17490s |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
7573624740 = 22 · 310 · 5 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-506,-1501] |
[a1,a2,a3,a4,a6] |
Generators |
[1941:84565:1] |
Generators of the group modulo torsion |
j |
14329429649569/7573624740 |
j-invariant |
L |
7.0185233554276 |
L(r)(E,1)/r! |
Ω |
1.0683075183138 |
Real period |
R |
3.2848796976105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52470p1 87450t1 |
Quadratic twists by: -3 5 |