Atkin-Lehner |
2- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7360w |
Isogeny class |
Conductor |
7360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-7786880000 = -1 · 210 · 54 · 233 |
Discriminant |
Eigenvalues |
2- 1 5- 4 -6 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-185,-4417] |
[a1,a2,a3,a4,a6] |
Generators |
[26:95:1] |
Generators of the group modulo torsion |
j |
-687518464/7604375 |
j-invariant |
L |
5.447265497462 |
L(r)(E,1)/r! |
Ω |
0.55978224683121 |
Real period |
R |
2.4327609210088 |
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 |
7360m1 1840f1 66240fd1 36800cu1 |
Quadratic twists by: -4 8 -3 5 |