Atkin-Lehner |
2- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50600o |
Isogeny class |
Conductor |
50600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-1489873484000000000 = -1 · 211 · 59 · 113 · 234 |
Discriminant |
Eigenvalues |
2- -1 5- 3 11- 0 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-684208,-225385588] |
[a1,a2,a3,a4,a6] |
Generators |
[11717:1265000:1] |
Generators of the group modulo torsion |
j |
-8855820372922/372468371 |
j-invariant |
L |
6.0498397332372 |
L(r)(E,1)/r! |
Ω |
0.082795087371639 |
Real period |
R |
3.0445846915799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101200k1 50600e1 |
Quadratic twists by: -4 5 |