Atkin-Lehner |
2+ 3+ 5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710a |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-1801417500 = -1 · 22 · 32 · 54 · 23 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,182,1888] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:28:1] [-2:40:1] |
Generators of the group modulo torsion |
j |
661003929431/1801417500 |
j-invariant |
L |
5.2440358158296 |
L(r)(E,1)/r! |
Ω |
1.0431698850097 |
Real period |
R |
1.2567549857377 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122130bx1 |
Quadratic twists by: -3 |