Atkin-Lehner |
2- 7+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
75166m |
Isogeny class |
Conductor |
75166 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
282982551488 = 26 · 78 · 13 · 59 |
Discriminant |
Eigenvalues |
2- -2 0 7+ -6 13- -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27833,1784761] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:341:1] |
Generators of the group modulo torsion |
j |
413637996625/49088 |
j-invariant |
L |
4.6760081260347 |
L(r)(E,1)/r! |
Ω |
0.93811527742154 |
Real period |
R |
2.4922353552432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005704 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
75166r1 |
Quadratic twists by: -7 |