Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510o |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
608571532800 = 29 · 36 · 52 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2655,-36275] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:10:1] |
Generators of the group modulo torsion |
j |
57954303169/17036800 |
j-invariant |
L |
4.0603136071415 |
L(r)(E,1)/r! |
Ω |
0.68009937753278 |
Real period |
R |
2.9850884600641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5390bi1 48510bg1 |
Quadratic twists by: -3 -7 |