Atkin-Lehner |
2- 3+ 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40020a |
Isogeny class |
Conductor |
40020 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-127969540293750000 = -1 · 24 · 3 · 58 · 234 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 3 -3 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-123446,-23936379] |
[a1,a2,a3,a4,a6] |
j |
-13002842854724664064/7998096268359375 |
j-invariant |
L |
0.49553791456739 |
L(r)(E,1)/r! |
Ω |
0.12388447863646 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120060n1 |
Quadratic twists by: -3 |