Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4680o |
Isogeny class |
Conductor |
4680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-73693152000 = -1 · 28 · 311 · 53 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 3 13+ 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-948,-17228] |
[a1,a2,a3,a4,a6] |
Generators |
[44:162:1] |
Generators of the group modulo torsion |
j |
-504871936/394875 |
j-invariant |
L |
3.29106561706 |
L(r)(E,1)/r! |
Ω |
0.41618840468339 |
Real period |
R |
0.98845426134698 |
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 |
9360j1 37440cv1 1560f1 23400s1 |
Quadratic twists by: -4 8 -3 5 |