Atkin-Lehner |
2+ 3+ 7+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118818b |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1342464 |
Modular degree for the optimal curve |
Δ |
-389960880769990656 = -1 · 219 · 33 · 74 · 234 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 0 5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,182121,2744861] |
[a1,a2,a3,a4,a6] |
j |
24742221212646537237/14442995584073728 |
j-invariant |
L |
1.4527593454029 |
L(r)(E,1)/r! |
Ω |
0.18159500793819 |
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 |
118818y1 |
Quadratic twists by: -3 |