Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61920q |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
4367264040000 = 26 · 310 · 54 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4197,-29036] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:140:1] |
Generators of the group modulo torsion |
j |
175239948736/93605625 |
j-invariant |
L |
7.5083052161777 |
L(r)(E,1)/r! |
Ω |
0.63063069529808 |
Real period |
R |
2.9765064053898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000289 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61920ca1 123840bu2 20640t1 |
Quadratic twists by: -4 8 -3 |