Atkin-Lehner |
2- 3+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117300f |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-105386718750000 = -1 · 24 · 3 · 512 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23533,1482562] |
[a1,a2,a3,a4,a6] |
Generators |
[714:25300:27] |
Generators of the group modulo torsion |
j |
-5765461049344/421546875 |
j-invariant |
L |
4.6065158043882 |
L(r)(E,1)/r! |
Ω |
0.58497498072363 |
Real period |
R |
3.9373613905166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23460k1 |
Quadratic twists by: 5 |