Atkin-Lehner |
2+ 3+ 5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710c |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15120 |
Modular degree for the optimal curve |
Δ |
-586224000 = -1 · 27 · 33 · 53 · 23 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 1 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-48,1152] |
[a1,a2,a3,a4,a6] |
j |
-12633057289/586224000 |
j-invariant |
L |
1.3548084533354 |
L(r)(E,1)/r! |
Ω |
1.3548084533613 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122130bz1 |
Quadratic twists by: -3 |