Atkin-Lehner |
3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72075bm |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-16216875 = -1 · 33 · 54 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5- -5 2 -6 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-113,492] |
[a1,a2,a3,a4,a6] |
Generators |
[7:4:1] [-34:257:8] |
Generators of the group modulo torsion |
j |
-265825/27 |
j-invariant |
L |
6.8565503583253 |
L(r)(E,1)/r! |
Ω |
2.1469635551034 |
Real period |
R |
0.35484483511951 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72075h1 72075r1 |
Quadratic twists by: 5 -31 |