Atkin-Lehner |
2+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
4130b |
Isogeny class |
Conductor |
4130 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-40474000 = -1 · 24 · 53 · 73 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -3 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,17,306] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:12:1] |
Generators of the group modulo torsion |
j |
590589719/40474000 |
j-invariant |
L |
1.928079738793 |
L(r)(E,1)/r! |
Ω |
1.5565352020524 |
Real period |
R |
0.61934986637333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
33040h1 37170be1 20650r1 28910i1 |
Quadratic twists by: -4 -3 5 -7 |