Atkin-Lehner |
2- 3- 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
114390bt |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
-38906583033600 = -1 · 28 · 314 · 52 · 31 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19202,-1062399] |
[a1,a2,a3,a4,a6] |
Generators |
[201:1679:1] |
Generators of the group modulo torsion |
j |
-1074024964403929/53369798400 |
j-invariant |
L |
11.438480303075 |
L(r)(E,1)/r! |
Ω |
0.20219889251138 |
Real period |
R |
3.5356524831767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035511 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38130b1 |
Quadratic twists by: -3 |