Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
7650z |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-16730550 = -1 · 2 · 39 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27,211] |
[a1,a2,a3,a4,a6] |
Generators |
[5:11:1] |
Generators of the group modulo torsion |
j |
-121945/918 |
j-invariant |
L |
2.5586234513948 |
L(r)(E,1)/r! |
Ω |
1.8850887871359 |
Real period |
R |
0.33932399747629 |
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 |
61200ga1 2550t1 7650ck1 |
Quadratic twists by: -4 -3 5 |