Atkin-Lehner |
5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
72275n |
Isogeny class |
Conductor |
72275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
178560 |
Modular degree for the optimal curve |
Δ |
105711523623125 = 54 · 77 · 593 |
Discriminant |
Eigenvalues |
0 2 5- 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-18783,864793] |
[a1,a2,a3,a4,a6] |
Generators |
[6295:26177:125] |
Generators of the group modulo torsion |
j |
9967206400/1437653 |
j-invariant |
L |
6.7591421220986 |
L(r)(E,1)/r! |
Ω |
0.57175842787647 |
Real period |
R |
5.9108373334258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72275d1 10325f1 |
Quadratic twists by: 5 -7 |