Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400be |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-63750000 = -1 · 24 · 3 · 57 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -5 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,3063] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:75:1] |
Generators of the group modulo torsion |
j |
-30118144/255 |
j-invariant |
L |
6.1070621932964 |
L(r)(E,1)/r! |
Ω |
1.9742358938699 |
Real period |
R |
1.5466900921666 |
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 |
10200bb1 81600gf1 61200bg1 4080b1 |
Quadratic twists by: -4 8 -3 5 |