Atkin-Lehner |
2- 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
46354bc |
Isogeny class |
Conductor |
46354 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-2189079228858368 = -1 · 214 · 710 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 1 0 7- 11- 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6518,2259620] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:1594:1] |
Generators of the group modulo torsion |
j |
-260305116625/18606866432 |
j-invariant |
L |
11.312248099131 |
L(r)(E,1)/r! |
Ω |
0.38169360681413 |
Real period |
R |
1.0584637873691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6622i1 |
Quadratic twists by: -7 |