Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400fs |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-5744286720000000 = -1 · 216 · 310 · 57 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36075,4500250] |
[a1,a2,a3,a4,a6] |
j |
-111284641/123120 |
j-invariant |
L |
3.0994166595488 |
L(r)(E,1)/r! |
Ω |
0.38742708408555 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550ba1 22800dk1 13680bh1 |
Quadratic twists by: -4 -3 5 |