Atkin-Lehner |
2+ 5+ 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121550m |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
874368 |
Modular degree for the optimal curve |
Δ |
-2709753486497200 = -1 · 24 · 52 · 119 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ -5 11- 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-737,-2504339] |
[a1,a2,a3,a4,a6] |
Generators |
[4386:-36799:27] [2094:30127:8] |
Generators of the group modulo torsion |
j |
-1772219827665/108390139459888 |
j-invariant |
L |
7.2552303673728 |
L(r)(E,1)/r! |
Ω |
0.20755254784056 |
Real period |
R |
0.97100314634926 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999943177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121550cg1 |
Quadratic twists by: 5 |