Atkin-Lehner |
2- 5+ 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
77050l |
Isogeny class |
Conductor |
77050 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
1443240 |
Modular degree for the optimal curve |
Δ |
-407016275456819200 = -1 · 219 · 52 · 23 · 675 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 3 1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,184937,2336941] |
[a1,a2,a3,a4,a6] |
j |
27980468482598774375/16280651018272768 |
j-invariant |
L |
3.4292028042787 |
L(r)(E,1)/r! |
Ω |
0.18048435942895 |
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 |
77050k1 |
Quadratic twists by: 5 |