Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240fd |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
104406220800 = 215 · 32 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9441,355905] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:360:1] [69:-168:1] |
Generators of the group modulo torsion |
j |
2840362499528/3186225 |
j-invariant |
L |
8.9080295535305 |
L(r)(E,1)/r! |
Ω |
1.0560971922527 |
Real period |
R |
0.52717860746013 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ix2 57120z2 |
Quadratic twists by: -4 8 |