Atkin-Lehner |
5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
72275a |
Isogeny class |
Conductor |
72275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-5314425921875 = -1 · 56 · 78 · 59 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7+ 4 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14113,648906] |
[a1,a2,a3,a4,a6] |
Generators |
[20:602:1] |
Generators of the group modulo torsion |
j |
-3451273/59 |
j-invariant |
L |
3.158043187515 |
L(r)(E,1)/r! |
Ω |
0.76532157790993 |
Real period |
R |
0.34386886942995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2891a1 72275k1 |
Quadratic twists by: 5 -7 |