Atkin-Lehner |
2- 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
42600r |
Isogeny class |
Conductor |
42600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7259040000000 = 211 · 32 · 57 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47408,-3955188] |
[a1,a2,a3,a4,a6] |
j |
368245795538/226845 |
j-invariant |
L |
1.294231400051 |
L(r)(E,1)/r! |
Ω |
0.32355785000553 |
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 |
85200ba2 127800x2 8520g2 |
Quadratic twists by: -4 -3 5 |