Atkin-Lehner |
2+ 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600o |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-3337200000000 = -1 · 210 · 34 · 58 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 0 1 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4208,135588] |
[a1,a2,a3,a4,a6] |
Generators |
[58:-300:1] |
Generators of the group modulo torsion |
j |
-20606020/8343 |
j-invariant |
L |
10.765943239636 |
L(r)(E,1)/r! |
Ω |
0.74517502132833 |
Real period |
R |
0.30099034207451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999814571 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61800e1 123600i1 |
Quadratic twists by: -4 5 |