Atkin-Lehner |
2- 3+ 5- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710ba |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
-2.1197417971983E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,710335,2203409855] |
[a1,a2,a3,a4,a6] |
Generators |
[1133:66248:1] |
Generators of the group modulo torsion |
j |
39638144438694571901039/2119741797198339936000 |
j-invariant |
L |
9.0798881922799 |
L(r)(E,1)/r! |
Ω |
0.11152278828833 |
Real period |
R |
3.3923889501426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122130h1 |
Quadratic twists by: -3 |