Atkin-Lehner |
3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72075bh |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
2827817578125 = 35 · 58 · 313 |
Discriminant |
Eigenvalues |
0 3- 5- 0 -5 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-25833,1587494] |
[a1,a2,a3,a4,a6] |
Generators |
[258:-3488:1] [14:1108:1] |
Generators of the group modulo torsion |
j |
163840000/243 |
j-invariant |
L |
10.07250617718 |
L(r)(E,1)/r! |
Ω |
0.80440243631875 |
Real period |
R |
0.41739083666039 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72075c1 72075s1 |
Quadratic twists by: 5 -31 |