Atkin-Lehner |
2+ 3+ 5- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
105450s |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6065280 |
Modular degree for the optimal curve |
Δ |
-2.4580183489972E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 1 1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-903450,2407756500] |
[a1,a2,a3,a4,a6] |
Generators |
[-1076:46750:1] |
Generators of the group modulo torsion |
j |
-208774184151015625/6292526973432768 |
j-invariant |
L |
3.2614001721022 |
L(r)(E,1)/r! |
Ω |
0.1210120834413 |
Real period |
R |
6.7377571939997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105450cf1 |
Quadratic twists by: 5 |