Atkin-Lehner |
2+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
4970b |
Isogeny class |
Conductor |
4970 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
-159040 = -1 · 26 · 5 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -3 -2 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5,21] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] |
Generators of the group modulo torsion |
j |
-15438249/159040 |
j-invariant |
L |
2.2939356311815 |
L(r)(E,1)/r! |
Ω |
2.7588348053226 |
Real period |
R |
0.41574356441275 |
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 |
39760q1 44730cb1 24850v1 34790i1 |
Quadratic twists by: -4 -3 5 -7 |