Atkin-Lehner |
2- 3+ 7- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34314p |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
16583792590848 = 216 · 3 · 74 · 19 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6377,2903] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:472:1] |
Generators of the group modulo torsion |
j |
28679872714374673/16583792590848 |
j-invariant |
L |
8.8984204194026 |
L(r)(E,1)/r! |
Ω |
0.58906670608743 |
Real period |
R |
1.8882454922859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102942r1 |
Quadratic twists by: -3 |