Atkin-Lehner |
3- 5- 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123165h |
Isogeny class |
Conductor |
123165 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1114520879291085 = 36 · 5 · 76 · 173 · 232 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -2 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1180599,494036540] |
[a1,a2,a3,a4,a6] |
Generators |
[7060:583000:1] |
Generators of the group modulo torsion |
j |
249633935692376843889/1528835225365 |
j-invariant |
L |
8.3841263855709 |
L(r)(E,1)/r! |
Ω |
0.43592182760367 |
Real period |
R |
4.8082739864726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13685c2 |
Quadratic twists by: -3 |