Atkin-Lehner |
2- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
31150s |
Isogeny class |
Conductor |
31150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
249200 = 24 · 52 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -1 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-100,407] |
[a1,a2,a3,a4,a6] |
Generators |
[5:1:1] |
Generators of the group modulo torsion |
j |
4382337465/9968 |
j-invariant |
L |
8.3658963100954 |
L(r)(E,1)/r! |
Ω |
3.1246075868414 |
Real period |
R |
0.66935575728984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31150k1 |
Quadratic twists by: 5 |