Atkin-Lehner |
3- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
4797d |
Isogeny class |
Conductor |
4797 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
638592 |
Modular degree for the optimal curve |
Δ |
-4305006013347 = -1 · 37 · 134 · 413 |
Discriminant |
Eigenvalues |
2 3- 4 2 5 13- 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-85569753,304669185241] |
[a1,a2,a3,a4,a6] |
j |
-95051071934010512925700096/5905358043 |
j-invariant |
L |
7.0755699557688 |
L(r)(E,1)/r! |
Ω |
0.2948154148237 |
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 |
76752cm1 1599c1 119925v1 62361h1 |
Quadratic twists by: -4 -3 5 13 |