Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600cz |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
781021440000000 = 214 · 39 · 57 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27675,1154250] |
[a1,a2,a3,a4,a6] |
Generators |
[829:23408:1] |
Generators of the group modulo torsion |
j |
1860867/620 |
j-invariant |
L |
9.3718586070509 |
L(r)(E,1)/r! |
Ω |
0.46446956707546 |
Real period |
R |
5.0443878623539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950bv1 111600da1 22320bd1 |
Quadratic twists by: -4 -3 5 |