Atkin-Lehner |
2- 3+ 5- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710v |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-41504659200 = -1 · 28 · 34 · 52 · 23 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2820,-59643] |
[a1,a2,a3,a4,a6] |
j |
-2480165502050881/41504659200 |
j-invariant |
L |
5.2359434095181 |
L(r)(E,1)/r! |
Ω |
0.32724646309665 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122130m1 |
Quadratic twists by: -3 |