Atkin-Lehner |
2+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34720a |
Isogeny class |
Conductor |
34720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4736 |
Modular degree for the optimal curve |
Δ |
555520 = 29 · 5 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -3 -7 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,-140] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:2:1] |
Generators of the group modulo torsion |
j |
38614472/1085 |
j-invariant |
L |
2.2371371544459 |
L(r)(E,1)/r! |
Ω |
1.7456362421049 |
Real period |
R |
0.64077987741247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34720j1 69440de1 |
Quadratic twists by: -4 8 |