Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27342bp |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
8.5491949335339E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4143866,-2925187275] |
[a1,a2,a3,a4,a6] |
Generators |
[-123566051572:-1503756093201:131096512] |
Generators of the group modulo torsion |
j |
91753989172452937/9968032637892 |
j-invariant |
L |
7.1034972782993 |
L(r)(E,1)/r! |
Ω |
0.10656060131517 |
Real period |
R |
16.665393190888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9114f1 3906s1 |
Quadratic twists by: -3 -7 |