Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800bv |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
18404100000000 = 28 · 32 · 58 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23908,1415812] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:1650:1] |
Generators of the group modulo torsion |
j |
377843214544/4601025 |
j-invariant |
L |
5.7475758942758 |
L(r)(E,1)/r! |
Ω |
0.69142137364054 |
Real period |
R |
1.039087036373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010625 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17160f2 |
Quadratic twists by: 5 |