Atkin-Lehner |
3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83205q |
Isogeny class |
Conductor |
83205 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
22708224 |
Modular degree for the optimal curve |
Δ |
-4.1135976263428E+25 |
Discriminant |
Eigenvalues |
0 3- 5- 2 5 -5 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,30197868,301898156512] |
[a1,a2,a3,a4,a6] |
j |
660867352100864/8926548046875 |
j-invariant |
L |
3.0532223644766 |
L(r)(E,1)/r! |
Ω |
0.047706599379428 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27735b1 1935e1 |
Quadratic twists by: -3 -43 |