Atkin-Lehner |
2+ 3+ 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050d |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
171360 |
Modular degree for the optimal curve |
Δ |
-35188732800 = -1 · 27 · 35 · 52 · 13 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -6 13+ 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1515,23805] |
[a1,a2,a3,a4,a6] |
Generators |
[31:73:1] |
Generators of the group modulo torsion |
j |
-15398181555745/1407549312 |
j-invariant |
L |
3.3005971124219 |
L(r)(E,1)/r! |
Ω |
1.1345135737487 |
Real period |
R |
1.4546309674981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998714732 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115050ch1 |
Quadratic twists by: 5 |