Atkin-Lehner |
2+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
470b |
Isogeny class |
Conductor |
470 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
8709304483840 = 224 · 5 · 473 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 3 5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6348,132618] |
[a1,a2,a3,a4,a6] |
j |
28283693153853241/8709304483840 |
j-invariant |
L |
1.3582924068667 |
L(r)(E,1)/r! |
Ω |
0.67914620343333 |
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 |
3760p2 15040b2 4230bb2 2350l2 |
Quadratic twists by: -4 8 -3 5 |