Atkin-Lehner |
2- 3- 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
121410ba |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1400832 |
Modular degree for the optimal curve |
Δ |
-373438923657571440 = -1 · 24 · 39 · 5 · 196 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,45292,29155047] |
[a1,a2,a3,a4,a6] |
Generators |
[-1730:25143:8] |
Generators of the group modulo torsion |
j |
14095148935439879/512261898021360 |
j-invariant |
L |
10.393679230114 |
L(r)(E,1)/r! |
Ω |
0.22778673172371 |
Real period |
R |
1.9012080444757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026404 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470q1 |
Quadratic twists by: -3 |