Atkin-Lehner |
2+ 3- 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850bd |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-179684261718750 = -1 · 2 · 310 · 59 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 5 1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,224,644948] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:596:1] |
Generators of the group modulo torsion |
j |
80062991/11499792750 |
j-invariant |
L |
7.2930286765159 |
L(r)(E,1)/r! |
Ω |
0.45116220945397 |
Real period |
R |
0.40412453287183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999872694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23370j1 |
Quadratic twists by: 5 |