Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992bx |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
11182080 |
Modular degree for the optimal curve |
Δ |
-1.3340000932478E+24 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 3 1 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17974092,62835004528] |
[a1,a2,a3,a4,a6] |
Generators |
[-1273798:1764331632:6859] |
Generators of the group modulo torsion |
j |
-6720895431401588642/13961060378754237 |
j-invariant |
L |
7.7807450951542 |
L(r)(E,1)/r! |
Ω |
0.076250257609933 |
Real period |
R |
3.1888192119531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999111918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992fr1 15624i1 41664bp1 |
Quadratic twists by: -4 8 -3 |