Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
29040bt |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
19534699089100800 = 228 · 37 · 52 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-185456,-29934144] |
[a1,a2,a3,a4,a6] |
j |
129392980254539/3583180800 |
j-invariant |
L |
0.92179366026282 |
L(r)(E,1)/r! |
Ω |
0.23044841506539 |
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 |
3630t1 116160ik1 87120fc1 29040bu1 |
Quadratic twists by: -4 8 -3 -11 |