Atkin-Lehner |
2- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
31450k |
Isogeny class |
Conductor |
31450 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-36364062500000 = -1 · 25 · 511 · 17 · 372 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 4 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28688,-1895008] |
[a1,a2,a3,a4,a6] |
Generators |
[212:1144:1] |
Generators of the group modulo torsion |
j |
-167111158096441/2327300000 |
j-invariant |
L |
9.4124103957859 |
L(r)(E,1)/r! |
Ω |
0.18326716987601 |
Real period |
R |
1.2839738838868 |
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 |
6290e1 |
Quadratic twists by: 5 |