Atkin-Lehner |
2- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
63580j |
Isogeny class |
Conductor |
63580 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-3495428952083200 = -1 · 28 · 52 · 113 · 177 |
Discriminant |
Eigenvalues |
2- 2 5- 1 11+ -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75525,8505377] |
[a1,a2,a3,a4,a6] |
Generators |
[227:1734:1] |
Generators of the group modulo torsion |
j |
-7710244864/565675 |
j-invariant |
L |
10.2183134824 |
L(r)(E,1)/r! |
Ω |
0.43689938846909 |
Real period |
R |
0.97451054637134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3740b1 |
Quadratic twists by: 17 |