Atkin-Lehner |
2+ 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
32450d |
Isogeny class |
Conductor |
32450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27360 |
Modular degree for the optimal curve |
Δ |
-93572300800 = -1 · 219 · 52 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 11- 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1877,35061] |
[a1,a2,a3,a4,a6] |
Generators |
[23:49:1] |
Generators of the group modulo torsion |
j |
-29262179116305/3742892032 |
j-invariant |
L |
4.6863930718542 |
L(r)(E,1)/r! |
Ω |
1.0375673179396 |
Real period |
R |
2.2583561523316 |
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 |
32450w1 |
Quadratic twists by: 5 |