Atkin-Lehner |
2- 5- 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104650bg |
Isogeny class |
Conductor |
104650 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-110719700000000 = -1 · 28 · 58 · 7 · 13 · 233 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 13- -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5430,-527803] |
[a1,a2,a3,a4,a6] |
Generators |
[369:-7085:1] |
Generators of the group modulo torsion |
j |
-45319820625/283442432 |
j-invariant |
L |
9.2507108429114 |
L(r)(E,1)/r! |
Ω |
0.24822855290756 |
Real period |
R |
0.51759595454674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019652 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104650f1 |
Quadratic twists by: 5 |