Atkin-Lehner |
2+ 3+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150r |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
450486562500 = 22 · 34 · 57 · 13 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2125,-20375] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:130:1] |
Generators of the group modulo torsion |
j |
67967263441/28831140 |
j-invariant |
L |
3.5840641826236 |
L(r)(E,1)/r! |
Ω |
0.73039021717501 |
Real period |
R |
1.2267634817618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bn1 |
Quadratic twists by: 5 |