Atkin-Lehner |
2- 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
73150bo |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-31083539379200 = -1 · 210 · 52 · 7 · 113 · 194 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 11- -2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5820,205287] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:221:1] |
Generators of the group modulo torsion |
j |
872213115234375/1243341575168 |
j-invariant |
L |
5.8255084362197 |
L(r)(E,1)/r! |
Ω |
0.44640647800053 |
Real period |
R |
0.10874820601271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73150x1 |
Quadratic twists by: 5 |