Atkin-Lehner |
2+ 5+ 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121550a |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-726363352000000000 = -1 · 212 · 59 · 11 · 134 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11+ 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,116833,37985741] |
[a1,a2,a3,a4,a6] |
Generators |
[379:11498:1] |
Generators of the group modulo torsion |
j |
11287510847853759/46487254528000 |
j-invariant |
L |
3.8444388222916 |
L(r)(E,1)/r! |
Ω |
0.20361747125909 |
Real period |
R |
2.3600865509978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999442249 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24310z1 |
Quadratic twists by: 5 |