Atkin-Lehner |
2- 3- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
122544y |
Isogeny class |
Conductor |
122544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
-128584226527285248 = -1 · 212 · 39 · 23 · 375 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 4 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-213195,41632058] |
[a1,a2,a3,a4,a6] |
Generators |
[71:5182:1] |
Generators of the group modulo torsion |
j |
-358894895199625/43062597297 |
j-invariant |
L |
6.8957844386715 |
L(r)(E,1)/r! |
Ω |
0.32003044350899 |
Real period |
R |
5.3868190578051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000101487 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7659b1 40848d1 |
Quadratic twists by: -4 -3 |