Atkin-Lehner |
2- 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850dy |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-1314017717760000000 = -1 · 215 · 36 · 57 · 113 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11+ 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,141520,51168147] |
[a1,a2,a3,a4,a6] |
Generators |
[189:-9295:1] |
Generators of the group modulo torsion |
j |
27518990257871/115359580160 |
j-invariant |
L |
11.764926739309 |
L(r)(E,1)/r! |
Ω |
0.19393519572532 |
Real period |
R |
1.0110702802506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999810982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12650l1 22770v1 |
Quadratic twists by: -3 5 |