Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200t |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
37000000 = 26 · 56 · 37 |
Discriminant |
Eigenvalues |
2+ -3 5+ 1 -3 2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1450,21250] |
[a1,a2,a3,a4,a6] |
Generators |
[25:25:1] |
Generators of the group modulo torsion |
j |
337153536/37 |
j-invariant |
L |
2.9764970905738 |
L(r)(E,1)/r! |
Ω |
1.973240056327 |
Real period |
R |
0.75421565691569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200r1 29600bb1 2368h1 |
Quadratic twists by: -4 8 5 |