Atkin-Lehner |
2- 3+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72540n |
Isogeny class |
Conductor |
72540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2325888 |
Modular degree for the optimal curve |
Δ |
-290679749619966720 = -1 · 28 · 39 · 5 · 13 · 316 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 3 13- -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10598472,13280481684] |
[a1,a2,a3,a4,a6] |
Generators |
[645435:77841:343] |
Generators of the group modulo torsion |
j |
-26128966057669435392/57687739265 |
j-invariant |
L |
8.7472488995173 |
L(r)(E,1)/r! |
Ω |
0.26542616289278 |
Real period |
R |
2.7462907214435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72540g1 |
Quadratic twists by: -3 |