Atkin-Lehner |
2+ 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
4130a |
Isogeny class |
Conductor |
4130 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-8260000000 = -1 · 28 · 57 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -1 0 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1423,-21723] |
[a1,a2,a3,a4,a6] |
Generators |
[318:5481:1] |
Generators of the group modulo torsion |
j |
-319018004775289/8260000000 |
j-invariant |
L |
3.448409480786 |
L(r)(E,1)/r! |
Ω |
0.3880294705883 |
Real period |
R |
4.4434891447262 |
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 |
33040e1 37170bj1 20650w1 28910q1 |
Quadratic twists by: -4 -3 5 -7 |