Atkin-Lehner |
2- 3+ 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
42420b |
Isogeny class |
Conductor |
42420 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2539392871680 = -1 · 28 · 34 · 5 · 74 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14820,-693720] |
[a1,a2,a3,a4,a6] |
j |
-1406234219906896/9919503405 |
j-invariant |
L |
2.595095340717 |
L(r)(E,1)/r! |
Ω |
0.21625794506459 |
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 |
127260i2 |
Quadratic twists by: -3 |