Atkin-Lehner |
2- 5- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
106640f |
Isogeny class |
Conductor |
106640 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-16396966400000 = -1 · 212 · 55 · 313 · 43 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -3 2 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2200,190000] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:310:1] |
Generators of the group modulo torsion |
j |
287365339799/4003165625 |
j-invariant |
L |
3.5883386990731 |
L(r)(E,1)/r! |
Ω |
0.51545464059261 |
Real period |
R |
0.23205007805972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6665a1 |
Quadratic twists by: -4 |