Atkin-Lehner |
2- 3- 5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114390bm |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
4128768 |
Modular degree for the optimal curve |
Δ |
1.1577587314301E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7161008,7375776531] |
[a1,a2,a3,a4,a6] |
Generators |
[1725:11537:1] |
Generators of the group modulo torsion |
j |
55708132985430874324921/15881464079974400 |
j-invariant |
L |
10.723763290615 |
L(r)(E,1)/r! |
Ω |
0.22136281545243 |
Real period |
R |
0.50462796475986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12710h1 |
Quadratic twists by: -3 |