Atkin-Lehner |
2- 7- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124558u |
Isogeny class |
Conductor |
124558 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
-15815876608 = -1 · 213 · 72 · 312 · 41 |
Discriminant |
Eigenvalues |
2- 2 0 7- 2 3 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14988,-712531] |
[a1,a2,a3,a4,a6] |
Generators |
[141:-23:1] |
Generators of the group modulo torsion |
j |
-7599070897140625/322772992 |
j-invariant |
L |
18.085919948777 |
L(r)(E,1)/r! |
Ω |
0.21574084738264 |
Real period |
R |
3.2242957989931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999688783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124558s1 |
Quadratic twists by: -7 |