Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680bj |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
2080800000 = 28 · 32 · 55 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -5 4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5145,143757] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-30:1] |
Generators of the group modulo torsion |
j |
203622820864/28125 |
j-invariant |
L |
5.1625538591173 |
L(r)(E,1)/r! |
Ω |
1.4170658763728 |
Real period |
R |
0.18215645246963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69360bj1 104040l1 34680bu1 |
Quadratic twists by: -4 -3 17 |