Atkin-Lehner |
2- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150cv |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
144768 |
Modular degree for the optimal curve |
Δ |
-82539520000 = -1 · 213 · 54 · 73 · 47 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -4 -2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-988,18192] |
[a1,a2,a3,a4,a6] |
Generators |
[32:124:1] [-34:130:1] |
Generators of the group modulo torsion |
j |
-497562775/385024 |
j-invariant |
L |
11.827213703482 |
L(r)(E,1)/r! |
Ω |
0.99288245130837 |
Real period |
R |
0.15271792217251 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150q1 115150cx1 |
Quadratic twists by: 5 -7 |