Atkin-Lehner |
2+ 3+ 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40470q |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-512261898021360 = -1 · 24 · 33 · 5 · 196 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5033,-1078139] |
[a1,a2,a3,a4,a6] |
Generators |
[105:736:1] |
Generators of the group modulo torsion |
j |
14095148935439879/512261898021360 |
j-invariant |
L |
4.1509477574501 |
L(r)(E,1)/r! |
Ω |
0.25117423455607 |
Real period |
R |
2.754361439439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410ba1 |
Quadratic twists by: -3 |