Atkin-Lehner |
2- 3- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
10434i |
Isogeny class |
Conductor |
10434 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
490398 = 2 · 3 · 37 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -2 6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1183,15563] |
[a1,a2,a3,a4,a6] |
j |
183105289536625/490398 |
j-invariant |
L |
5.1145469758982 |
L(r)(E,1)/r! |
Ω |
2.5572734879491 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83472i2 31302c2 |
Quadratic twists by: -4 -3 |