Atkin-Lehner |
2- 3+ 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40020d |
Isogeny class |
Conductor |
40020 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
411264 |
Modular degree for the optimal curve |
Δ |
13483300781250000 = 24 · 32 · 514 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-599045,-178171518] |
[a1,a2,a3,a4,a6] |
j |
1485876784636531572736/842706298828125 |
j-invariant |
L |
2.4025777554929 |
L(r)(E,1)/r! |
Ω |
0.17161269682081 |
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 |
120060d1 |
Quadratic twists by: -3 |