Atkin-Lehner |
3+ 7- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
109557d |
Isogeny class |
Conductor |
109557 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
85125789 = 33 · 72 · 372 · 47 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 0 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-768,8375] |
[a1,a2,a3,a4,a6] |
Generators |
[22:31:1] |
Generators of the group modulo torsion |
j |
1856785158171/3152807 |
j-invariant |
L |
4.5378212216162 |
L(r)(E,1)/r! |
Ω |
1.917574158041 |
Real period |
R |
1.1832192276229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999851081 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109557a2 |
Quadratic twists by: -3 |