Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600p |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
26784000 = 28 · 33 · 53 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135,550] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:30:1] |
Generators of the group modulo torsion |
j |
314928/31 |
j-invariant |
L |
6.2994015722784 |
L(r)(E,1)/r! |
Ω |
2.052081718026 |
Real period |
R |
1.5348807694982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062553 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55800f1 111600o1 111600m1 |
Quadratic twists by: -4 -3 5 |