Atkin-Lehner |
2+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3010b |
Isogeny class |
Conductor |
3010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1011781400000000 = 29 · 58 · 76 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 4 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-112953,-14540452] |
[a1,a2,a3,a4,a6] |
j |
159371806517831988361/1011781400000000 |
j-invariant |
L |
1.0420814414476 |
L(r)(E,1)/r! |
Ω |
0.26052036036189 |
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 |
24080s2 96320e2 27090bg2 15050x2 |
Quadratic twists by: -4 8 -3 5 |