Atkin-Lehner |
2+ 3- 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650bi |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
deg |
38491200 |
Modular degree for the optimal curve |
Δ |
8.5640791592704E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-412541201,-3222103487452] |
[a1,a2,a3,a4,a6] |
Generators |
[-11517:44962:1] |
Generators of the group modulo torsion |
j |
19877678480988601717163305/21924042647732165952 |
j-invariant |
L |
6.7483206903283 |
L(r)(E,1)/r! |
Ω |
0.033501286351488 |
Real period |
R |
1.0173468386395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908712 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100650bu1 |
Quadratic twists by: 5 |