Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
4770o |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
173866500 = 22 · 38 · 53 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1224,16780] |
[a1,a2,a3,a4,a6] |
Generators |
[11:62:1] |
Generators of the group modulo torsion |
j |
278317173889/238500 |
j-invariant |
L |
2.5867329420617 |
L(r)(E,1)/r! |
Ω |
1.7945418476755 |
Real period |
R |
0.24024079325245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38160by1 1590m1 23850cr1 |
Quadratic twists by: -4 -3 5 |