Atkin-Lehner |
3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41745n |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
984960 |
Modular degree for the optimal curve |
Δ |
-2604656614726083555 = -1 · 319 · 5 · 117 · 23 |
Discriminant |
Eigenvalues |
2 3+ 5- 0 11- -3 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,156050,-73986639] |
[a1,a2,a3,a4,a6] |
Generators |
[7703563616400:-2672686707985161:64000000] |
Generators of the group modulo torsion |
j |
237222641291264/1470260755755 |
j-invariant |
L |
10.604896535774 |
L(r)(E,1)/r! |
Ω |
0.12816550728873 |
Real period |
R |
20.685941093113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125235bc1 3795e1 |
Quadratic twists by: -3 -11 |